16-21q=-q+3(-9q-3)

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Solution for 16-21q=-q+3(-9q-3) equation:


Simplifying
16 + -21q = -1q + 3(-9q + -3)

Reorder the terms:
16 + -21q = -1q + 3(-3 + -9q)
16 + -21q = -1q + (-3 * 3 + -9q * 3)
16 + -21q = -1q + (-9 + -27q)

Reorder the terms:
16 + -21q = -9 + -1q + -27q

Combine like terms: -1q + -27q = -28q
16 + -21q = -9 + -28q

Solving
16 + -21q = -9 + -28q

Solving for variable 'q'.

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

Add '28q' to each side of the equation.
16 + -21q + 28q = -9 + -28q + 28q

Combine like terms: -21q + 28q = 7q
16 + 7q = -9 + -28q + 28q

Combine like terms: -28q + 28q = 0
16 + 7q = -9 + 0
16 + 7q = -9

Add '-16' to each side of the equation.
16 + -16 + 7q = -9 + -16

Combine like terms: 16 + -16 = 0
0 + 7q = -9 + -16
7q = -9 + -16

Combine like terms: -9 + -16 = -25
7q = -25

Divide each side by '7'.
q = -3.571428571

Simplifying
q = -3.571428571

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