9-3(2q-7)=3q-15

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Solution for 9-3(2q-7)=3q-15 equation: 


Simplifying
9 + -3(2q + -7) = 3q + -15

Reorder the terms:
9 + -3(-7 + 2q) = 3q + -15
9 + (-7 * -3 + 2q * -3) = 3q + -15
9 + (21 + -6q) = 3q + -15

Combine like terms: 9 + 21 = 30
30 + -6q = 3q + -15

Reorder the terms:
30 + -6q = -15 + 3q

Solving
30 + -6q = -15 + 3q

Solving for variable 'q'.

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

Add '-3q' to each side of the equation.
30 + -6q + -3q = -15 + 3q + -3q

Combine like terms: -6q + -3q = -9q
30 + -9q = -15 + 3q + -3q

Combine like terms: 3q + -3q = 0
30 + -9q = -15 + 0
30 + -9q = -15

Add '-30' to each side of the equation.
30 + -30 + -9q = -15 + -30

Combine like terms: 30 + -30 = 0
0 + -9q = -15 + -30
-9q = -15 + -30

Combine like terms: -15 + -30 = -45
-9q = -45

Divide each side by '-9'.
q = 5

Simplifying
q = 5

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