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Simplifying -9 + 12 = 4(3 + 2q) Combine like terms: -9 + 12 = 3 3 = 4(3 + 2q) 3 = (3 * 4 + 2q * 4) 3 = (12 + 8q) Solving 3 = 12 + 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. 3 + -8q = 12 + 8q + -8q Combine like terms: 8q + -8q = 0 3 + -8q = 12 + 0 3 + -8q = 12 Add '-3' to each side of the equation. 3 + -3 + -8q = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -8q = 12 + -3 -8q = 12 + -3 Combine like terms: 12 + -3 = 9 -8q = 9 Divide each side by '-8'. q = -1.125 Simplifying q = -1.125
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