q+14=8(q-7)

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Solution for q+14=8(q-7) equation:


Simplifying
q + 14 = 8(q + -7)

Reorder the terms:
14 + q = 8(q + -7)

Reorder the terms:
14 + q = 8(-7 + q)
14 + q = (-7 * 8 + q * 8)
14 + q = (-56 + 8q)

Solving
14 + q = -56 + 8q

Solving for variable 'q'.

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

Add '-8q' to each side of the equation.
14 + q + -8q = -56 + 8q + -8q

Combine like terms: q + -8q = -7q
14 + -7q = -56 + 8q + -8q

Combine like terms: 8q + -8q = 0
14 + -7q = -56 + 0
14 + -7q = -56

Add '-14' to each side of the equation.
14 + -14 + -7q = -56 + -14

Combine like terms: 14 + -14 = 0
0 + -7q = -56 + -14
-7q = -56 + -14

Combine like terms: -56 + -14 = -70
-7q = -70

Divide each side by '-7'.
q = 10

Simplifying
q = 10

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