7(1-q)=-3(5+3q)

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Solution for 7(1-q)=-3(5+3q) equation:


Simplifying
7(1 + -1q) = -3(5 + 3q)
(1 * 7 + -1q * 7) = -3(5 + 3q)
(7 + -7q) = -3(5 + 3q)
7 + -7q = (5 * -3 + 3q * -3)
7 + -7q = (-15 + -9q)

Solving
7 + -7q = -15 + -9q

Solving for variable 'q'.

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

Add '9q' to each side of the equation.
7 + -7q + 9q = -15 + -9q + 9q

Combine like terms: -7q + 9q = 2q
7 + 2q = -15 + -9q + 9q

Combine like terms: -9q + 9q = 0
7 + 2q = -15 + 0
7 + 2q = -15

Add '-7' to each side of the equation.
7 + -7 + 2q = -15 + -7

Combine like terms: 7 + -7 = 0
0 + 2q = -15 + -7
2q = -15 + -7

Combine like terms: -15 + -7 = -22
2q = -22

Divide each side by '2'.
q = -11

Simplifying
q = -11

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