Solve for h 5/6h-7/12=-3/4h-13/6

Math
56h-712=-34h-136
Combine 56 and h.
5h6-712=-34h-136
Simplify each term.
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Combine h and 34.
5h6-712=-h⋅34-136
Move 3 to the left of h.
5h6-712=-3h4-136
5h6-712=-3h4-136
Move all terms containing h to the left side of the equation.
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Add 3h4 to both sides of the equation.
5h6-712+3h4=-136
To write 5h6 as a fraction with a common denominator, multiply by 22.
5h6⋅22+3h4-712=-136
To write 3h4 as a fraction with a common denominator, multiply by 33.
5h6⋅22+3h4⋅33-712=-136
Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1.
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Multiply 5h6 and 22.
5h⋅26⋅2+3h4⋅33-712=-136
Multiply 6 by 2.
5h⋅212+3h4⋅33-712=-136
Multiply 3h4 and 33.
5h⋅212+3h⋅34⋅3-712=-136
Multiply 4 by 3.
5h⋅212+3h⋅312-712=-136
5h⋅212+3h⋅312-712=-136
Combine the numerators over the common denominator.
5h⋅2+3h⋅312-712=-136
Combine the numerators over the common denominator.
5h⋅2+3h⋅3-712=-136
Simplify the numerator.
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Multiply 2 by 5.
10h+3h⋅3-712=-136
Multiply 3 by 3.
10h+9h-712=-136
Add 10h and 9h.
19h-712=-136
19h-712=-136
19h-712=-136
Multiply both sides of the equation by 12.
19h-7=-136⋅12
Remove parentheses.
19h-7=-136⋅12
Simplify -136⋅12.
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Cancel the common factor of 6.
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Move the leading negative in -136 into the numerator.
19h-7=-136⋅12
Factor 6 out of 12.
19h-7=-136⋅(6(2))
Cancel the common factor.
19h-7=-136⋅(6⋅2)
Rewrite the expression.
19h-7=-13⋅2
19h-7=-13⋅2
Multiply -13 by 2.
19h-7=-26
19h-7=-26
Move all terms not containing h to the right side of the equation.
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Add 7 to both sides of the equation.
19h=-26+7
Add -26 and 7.
19h=-19
19h=-19
Divide each term by 19 and simplify.
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Divide each term in 19h=-19 by 19.
19h19=-1919
Cancel the common factor of 19.
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Cancel the common factor.
19h19=-1919
Divide h by 1.
h=-1919
h=-1919
Divide -19 by 19.
h=-1
h=-1
Solve for h 5/6h-7/12=-3/4h-13/6

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