7q-7(-8q-3)=3(20q-6)

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Solution for 7q-7(-8q-3)=3(20q-6) equation:


Simplifying
7q + -7(-8q + -3) = 3(20q + -6)

Reorder the terms:
7q + -7(-3 + -8q) = 3(20q + -6)
7q + (-3 * -7 + -8q * -7) = 3(20q + -6)
7q + (21 + 56q) = 3(20q + -6)

Reorder the terms:
21 + 7q + 56q = 3(20q + -6)

Combine like terms: 7q + 56q = 63q
21 + 63q = 3(20q + -6)

Reorder the terms:
21 + 63q = 3(-6 + 20q)
21 + 63q = (-6 * 3 + 20q * 3)
21 + 63q = (-18 + 60q)

Solving
21 + 63q = -18 + 60q

Solving for variable 'q'.

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

Add '-60q' to each side of the equation.
21 + 63q + -60q = -18 + 60q + -60q

Combine like terms: 63q + -60q = 3q
21 + 3q = -18 + 60q + -60q

Combine like terms: 60q + -60q = 0
21 + 3q = -18 + 0
21 + 3q = -18

Add '-21' to each side of the equation.
21 + -21 + 3q = -18 + -21

Combine like terms: 21 + -21 = 0
0 + 3q = -18 + -21
3q = -18 + -21

Combine like terms: -18 + -21 = -39
3q = -39

Divide each side by '3'.
q = -13

Simplifying
q = -13

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