q+14=8(8q+7)

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


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

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

Reorder the terms:
14 + q = 8(7 + 8q)
14 + q = (7 * 8 + 8q * 8)
14 + q = (56 + 64q)

Solving
14 + q = 56 + 64q

Solving for variable 'q'.

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

Add '-64q' to each side of the equation.
14 + q + -64q = 56 + 64q + -64q

Combine like terms: q + -64q = -63q
14 + -63q = 56 + 64q + -64q

Combine like terms: 64q + -64q = 0
14 + -63q = 56 + 0
14 + -63q = 56

Add '-14' to each side of the equation.
14 + -14 + -63q = 56 + -14

Combine like terms: 14 + -14 = 0
0 + -63q = 56 + -14
-63q = 56 + -14

Combine like terms: 56 + -14 = 42
-63q = 42

Divide each side by '-63'.
q = -0.6666666667

Simplifying
q = -0.6666666667

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