-5(9+7q)=2(-5q+15)

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Solution for -5(9+7q)=2(-5q+15) equation:


Simplifying
-5(9 + 7q) = 2(-5q + 15)
(9 * -5 + 7q * -5) = 2(-5q + 15)
(-45 + -35q) = 2(-5q + 15)

Reorder the terms:
-45 + -35q = 2(15 + -5q)
-45 + -35q = (15 * 2 + -5q * 2)
-45 + -35q = (30 + -10q)

Solving
-45 + -35q = 30 + -10q

Solving for variable 'q'.

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

Add '10q' to each side of the equation.
-45 + -35q + 10q = 30 + -10q + 10q

Combine like terms: -35q + 10q = -25q
-45 + -25q = 30 + -10q + 10q

Combine like terms: -10q + 10q = 0
-45 + -25q = 30 + 0
-45 + -25q = 30

Add '45' to each side of the equation.
-45 + 45 + -25q = 30 + 45

Combine like terms: -45 + 45 = 0
0 + -25q = 30 + 45
-25q = 30 + 45

Combine like terms: 30 + 45 = 75
-25q = 75

Divide each side by '-25'.
q = -3

Simplifying
q = -3

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