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

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


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

Reorder the terms:
-2 = 7(2 + q) + 3(2q + -1)
-2 = (2 * 7 + q * 7) + 3(2q + -1)
-2 = (14 + 7q) + 3(2q + -1)

Reorder the terms:
-2 = 14 + 7q + 3(-1 + 2q)
-2 = 14 + 7q + (-1 * 3 + 2q * 3)
-2 = 14 + 7q + (-3 + 6q)

Reorder the terms:
-2 = 14 + -3 + 7q + 6q

Combine like terms: 14 + -3 = 11
-2 = 11 + 7q + 6q

Combine like terms: 7q + 6q = 13q
-2 = 11 + 13q

Solving
-2 = 11 + 13q

Solving for variable 'q'.

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

Add '-13q' to each side of the equation.
-2 + -13q = 11 + 13q + -13q

Combine like terms: 13q + -13q = 0
-2 + -13q = 11 + 0
-2 + -13q = 11

Add '2' to each side of the equation.
-2 + 2 + -13q = 11 + 2

Combine like terms: -2 + 2 = 0
0 + -13q = 11 + 2
-13q = 11 + 2

Combine like terms: 11 + 2 = 13
-13q = 13

Divide each side by '-13'.
q = -1

Simplifying
q = -1

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