Simplify -4/5*(z-12)-1/10z

Math
-45⋅(z-12)-110z
Simplify each term.
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Apply the distributive property.
-45z-45⋅-12-110z
Combine z and 45.
-z⋅45-45⋅-12-110z
Multiply -45⋅-12.
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Multiply -12 by -1.
-z⋅45+12(45)-110z
Combine 12 and 45.
-z⋅45+12⋅45-110z
Multiply 12 by 4.
-z⋅45+485-110z
-z⋅45+485-110z
Move 4 to the left of z.
-4z5+485-110z
Combine z and 110.
-4z5+485-z10
-4z5+485-z10
To write -4z5 as a fraction with a common denominator, multiply by 22.
-4z5⋅22-z10+485
Write each expression with a common denominator of 10, by multiplying each by an appropriate factor of 1.
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Multiply 4z5 and 22.
-4z⋅25⋅2-z10+485
Multiply 5 by 2.
-4z⋅210-z10+485
-4z⋅210-z10+485
Combine the numerators over the common denominator.
-4z⋅2-z10+485
Simplify each term.
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Simplify the numerator.
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Factor z out of -4z⋅2-z.
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Factor z out of -4z⋅2.
z(-4⋅2)-z10+485
Factor z out of -z.
z(-4⋅2)+z⋅-110+485
Factor z out of z(-4⋅2)+z⋅-1.
z(-4⋅2-1)10+485
z(-4⋅2-1)10+485
Multiply -4 by 2.
z(-8-1)10+485
Subtract 1 from -8.
z⋅-910+485
z⋅-910+485
Move -9 to the left of z.
-9⋅z10+485
Move the negative in front of the fraction.
-9z10+485
-9z10+485
Simplify -4/5*(z-12)-1/10z

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