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Simplifying 8q + 12 = 4(3 + -2q) Reorder the terms: 12 + 8q = 4(3 + -2q) 12 + 8q = (3 * 4 + -2q * 4) 12 + 8q = (12 + -8q) Add '-12' to each side of the equation. 12 + -12 + 8q = 12 + -12 + -8q Combine like terms: 12 + -12 = 0 0 + 8q = 12 + -12 + -8q 8q = 12 + -12 + -8q Combine like terms: 12 + -12 = 0 8q = 0 + -8q 8q = -8q Solving 8q = -8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '8q' to each side of the equation. 8q + 8q = -8q + 8q Combine like terms: 8q + 8q = 16q 16q = -8q + 8q Combine like terms: -8q + 8q = 0 16q = 0 Divide each side by '16'. q = 0 Simplifying q = 0
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