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Simplifying 3(2q + 7) + -12 = -33 Reorder the terms: 3(7 + 2q) + -12 = -33 (7 * 3 + 2q * 3) + -12 = -33 (21 + 6q) + -12 = -33 Reorder the terms: 21 + -12 + 6q = -33 Combine like terms: 21 + -12 = 9 9 + 6q = -33 Solving 9 + 6q = -33 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 6q = -33 + -9 Combine like terms: 9 + -9 = 0 0 + 6q = -33 + -9 6q = -33 + -9 Combine like terms: -33 + -9 = -42 6q = -42 Divide each side by '6'. q = -7 Simplifying q = -7
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