8-(4-12q)+2=3q+2(7-3q)

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Solution for 8-(4-12q)+2=3q+2(7-3q) equation: 


Simplifying
8 + -1(4 + -12q) + 2 = 3q + 2(7 + -3q)
8 + (4 * -1 + -12q * -1) + 2 = 3q + 2(7 + -3q)
8 + (-4 + 12q) + 2 = 3q + 2(7 + -3q)

Reorder the terms:
8 + -4 + 2 + 12q = 3q + 2(7 + -3q)

Combine like terms: 8 + -4 = 4
4 + 2 + 12q = 3q + 2(7 + -3q)

Combine like terms: 4 + 2 = 6
6 + 12q = 3q + 2(7 + -3q)
6 + 12q = 3q + (7 * 2 + -3q * 2)
6 + 12q = 3q + (14 + -6q)

Reorder the terms:
6 + 12q = 14 + 3q + -6q

Combine like terms: 3q + -6q = -3q
6 + 12q = 14 + -3q

Solving
6 + 12q = 14 + -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.
6 + 12q + 3q = 14 + -3q + 3q

Combine like terms: 12q + 3q = 15q
6 + 15q = 14 + -3q + 3q

Combine like terms: -3q + 3q = 0
6 + 15q = 14 + 0
6 + 15q = 14

Add '-6' to each side of the equation.
6 + -6 + 15q = 14 + -6

Combine like terms: 6 + -6 = 0
0 + 15q = 14 + -6
15q = 14 + -6

Combine like terms: 14 + -6 = 8
15q = 8

Divide each side by '15'.
q = 0.5333333333

Simplifying
q = 0.5333333333

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