9q+16=-16+4(q-12)

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Solution for 9q+16=-16+4(q-12) equation: 


Simplifying
9q + 16 = -16 + 4(q + -12)

Reorder the terms:
16 + 9q = -16 + 4(q + -12)

Reorder the terms:
16 + 9q = -16 + 4(-12 + q)
16 + 9q = -16 + (-12 * 4 + q * 4)
16 + 9q = -16 + (-48 + 4q)

Combine like terms: -16 + -48 = -64
16 + 9q = -64 + 4q

Solving
16 + 9q = -64 + 4q

Solving for variable 'q'.

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

Add '-4q' to each side of the equation.
16 + 9q + -4q = -64 + 4q + -4q

Combine like terms: 9q + -4q = 5q
16 + 5q = -64 + 4q + -4q

Combine like terms: 4q + -4q = 0
16 + 5q = -64 + 0
16 + 5q = -64

Add '-16' to each side of the equation.
16 + -16 + 5q = -64 + -16

Combine like terms: 16 + -16 = 0
0 + 5q = -64 + -16
5q = -64 + -16

Combine like terms: -64 + -16 = -80
5q = -80

Divide each side by '5'.
q = -16

Simplifying
q = -16

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