-3(q-4)+15=-5(9-7)-10

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Solution for -3(q-4)+15=-5(9-7)-10 equation: 


Simplifying
-3(q + -4) + 15 = -5(9 + -7) + -10

Reorder the terms:
-3(-4 + q) + 15 = -5(9 + -7) + -10
(-4 * -3 + q * -3) + 15 = -5(9 + -7) + -10
(12 + -3q) + 15 = -5(9 + -7) + -10

Reorder the terms:
12 + 15 + -3q = -5(9 + -7) + -10

Combine like terms: 12 + 15 = 27
27 + -3q = -5(9 + -7) + -10

Combine like terms: 9 + -7 = 2
27 + -3q = -5(2) + -10

Multiply -5 * 2
27 + -3q = -10 + -10

Combine like terms: -10 + -10 = -20
27 + -3q = -20

Solving
27 + -3q = -20

Solving for variable 'q'.

Move all terms containing q to the left, all other terms to the right.

Add '-27' to each side of the equation.
27 + -27 + -3q = -20 + -27

Combine like terms: 27 + -27 = 0
0 + -3q = -20 + -27
-3q = -20 + -27

Combine like terms: -20 + -27 = -47
-3q = -47

Divide each side by '-3'.
q = 15.66666667

Simplifying
q = 15.66666667

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