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Simplifying 8q + 12 = 3(3 + 2q) Reorder the terms: 12 + 8q = 3(3 + 2q) 12 + 8q = (3 * 3 + 2q * 3) 12 + 8q = (9 + 6q) Solving 12 + 8q = 9 + 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. 12 + 8q + -6q = 9 + 6q + -6q Combine like terms: 8q + -6q = 2q 12 + 2q = 9 + 6q + -6q Combine like terms: 6q + -6q = 0 12 + 2q = 9 + 0 12 + 2q = 9 Add '-12' to each side of the equation. 12 + -12 + 2q = 9 + -12 Combine like terms: 12 + -12 = 0 0 + 2q = 9 + -12 2q = 9 + -12 Combine like terms: 9 + -12 = -3 2q = -3 Divide each side by '2'. q = -1.5 Simplifying q = -1.5
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