9q-(3q+16)=6-(2q-7)

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Solution for 9q-(3q+16)=6-(2q-7) equation:


Simplifying
9q + -1(3q + 16) = 6 + -1(2q + -7)

Reorder the terms:
9q + -1(16 + 3q) = 6 + -1(2q + -7)
9q + (16 * -1 + 3q * -1) = 6 + -1(2q + -7)
9q + (-16 + -3q) = 6 + -1(2q + -7)

Reorder the terms:
-16 + 9q + -3q = 6 + -1(2q + -7)

Combine like terms: 9q + -3q = 6q
-16 + 6q = 6 + -1(2q + -7)

Reorder the terms:
-16 + 6q = 6 + -1(-7 + 2q)
-16 + 6q = 6 + (-7 * -1 + 2q * -1)
-16 + 6q = 6 + (7 + -2q)

Combine like terms: 6 + 7 = 13
-16 + 6q = 13 + -2q

Solving
-16 + 6q = 13 + -2q

Solving for variable 'q'.

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

Add '2q' to each side of the equation.
-16 + 6q + 2q = 13 + -2q + 2q

Combine like terms: 6q + 2q = 8q
-16 + 8q = 13 + -2q + 2q

Combine like terms: -2q + 2q = 0
-16 + 8q = 13 + 0
-16 + 8q = 13

Add '16' to each side of the equation.
-16 + 16 + 8q = 13 + 16

Combine like terms: -16 + 16 = 0
0 + 8q = 13 + 16
8q = 13 + 16

Combine like terms: 13 + 16 = 29
8q = 29

Divide each side by '8'.
q = 3.625

Simplifying
q = 3.625

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