3q-(q-5)=-13

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Solution for 3q-(q-5)=-13 equation:


Simplifying
3q + -1(q + -5) = -13

Reorder the terms:
3q + -1(-5 + q) = -13
3q + (-5 * -1 + q * -1) = -13
3q + (5 + -1q) = -13

Reorder the terms:
5 + 3q + -1q = -13

Combine like terms: 3q + -1q = 2q
5 + 2q = -13

Solving
5 + 2q = -13

Solving for variable 'q'.

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

Add '-5' to each side of the equation.
5 + -5 + 2q = -13 + -5

Combine like terms: 5 + -5 = 0
0 + 2q = -13 + -5
2q = -13 + -5

Combine like terms: -13 + -5 = -18
2q = -18

Divide each side by '2'.
q = -9

Simplifying
q = -9

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