q+14=9(q+7)

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Solution for q+14=9(q+7) equation:


Simplifying
q + 14 = 9(q + 7)

Reorder the terms:
14 + q = 9(q + 7)

Reorder the terms:
14 + q = 9(7 + q)
14 + q = (7 * 9 + q * 9)
14 + q = (63 + 9q)

Solving
14 + q = 63 + 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.
14 + q + -9q = 63 + 9q + -9q

Combine like terms: q + -9q = -8q
14 + -8q = 63 + 9q + -9q

Combine like terms: 9q + -9q = 0
14 + -8q = 63 + 0
14 + -8q = 63

Add '-14' to each side of the equation.
14 + -14 + -8q = 63 + -14

Combine like terms: 14 + -14 = 0
0 + -8q = 63 + -14
-8q = 63 + -14

Combine like terms: 63 + -14 = 49
-8q = 49

Divide each side by '-8'.
q = -6.125

Simplifying
q = -6.125

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