2(4q-12)+39=6q+1

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Solution for 2(4q-12)+39=6q+1 equation:


Simplifying
2(4q + -12) + 39 = 6q + 1

Reorder the terms:
2(-12 + 4q) + 39 = 6q + 1
(-12 * 2 + 4q * 2) + 39 = 6q + 1
(-24 + 8q) + 39 = 6q + 1

Reorder the terms:
-24 + 39 + 8q = 6q + 1

Combine like terms: -24 + 39 = 15
15 + 8q = 6q + 1

Reorder the terms:
15 + 8q = 1 + 6q

Solving
15 + 8q = 1 + 6q

Solving for variable 'q'.

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

Add '-6q' to each side of the equation.
15 + 8q + -6q = 1 + 6q + -6q

Combine like terms: 8q + -6q = 2q
15 + 2q = 1 + 6q + -6q

Combine like terms: 6q + -6q = 0
15 + 2q = 1 + 0
15 + 2q = 1

Add '-15' to each side of the equation.
15 + -15 + 2q = 1 + -15

Combine like terms: 15 + -15 = 0
0 + 2q = 1 + -15
2q = 1 + -15

Combine like terms: 1 + -15 = -14
2q = -14

Divide each side by '2'.
q = -7

Simplifying
q = -7

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