2=-3(2q-1)+8q+7

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Solution for 2=-3(2q-1)+8q+7 equation: 


Simplifying
2 = -3(2q + -1) + 8q + 7

Reorder the terms:
2 = -3(-1 + 2q) + 8q + 7
2 = (-1 * -3 + 2q * -3) + 8q + 7
2 = (3 + -6q) + 8q + 7

Reorder the terms:
2 = 3 + 7 + -6q + 8q

Combine like terms: 3 + 7 = 10
2 = 10 + -6q + 8q

Combine like terms: -6q + 8q = 2q
2 = 10 + 2q

Solving
2 = 10 + 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.
2 + -2q = 10 + 2q + -2q

Combine like terms: 2q + -2q = 0
2 + -2q = 10 + 0
2 + -2q = 10

Add '-2' to each side of the equation.
2 + -2 + -2q = 10 + -2

Combine like terms: 2 + -2 = 0
0 + -2q = 10 + -2
-2q = 10 + -2

Combine like terms: 10 + -2 = 8
-2q = 8

Divide each side by '-2'.
q = -4

Simplifying
q = -4

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