Solve for t 5(2t-3)+4t=30-t

Math
5(2t-3)+4t=30-t
Simplify 5(2t-3)+4t.
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Simplify each term.
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Apply the distributive property.
5(2t)+5⋅-3+4t=30-t
Multiply 2 by 5.
10t+5⋅-3+4t=30-t
Multiply 5 by -3.
10t-15+4t=30-t
10t-15+4t=30-t
Add 10t and 4t.
14t-15=30-t
14t-15=30-t
Move all terms containing t to the left side of the equation.
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Add t to both sides of the equation.
14t-15+t=30
Add 14t and t.
15t-15=30
15t-15=30
Move all terms not containing t to the right side of the equation.
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Add 15 to both sides of the equation.
15t=30+15
Add 30 and 15.
15t=45
15t=45
Divide each term by 15 and simplify.
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Divide each term in 15t=45 by 15.
15t15=4515
Cancel the common factor of 15.
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Cancel the common factor.
15t15=4515
Divide t by 1.
t=4515
t=4515
Divide 45 by 15.
t=3
t=3
Solve for t 5(2t-3)+4t=30-t

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