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Simplifying 3(2q + 4) = 5(3q + -3) Reorder the terms: 3(4 + 2q) = 5(3q + -3) (4 * 3 + 2q * 3) = 5(3q + -3) (12 + 6q) = 5(3q + -3) Reorder the terms: 12 + 6q = 5(-3 + 3q) 12 + 6q = (-3 * 5 + 3q * 5) 12 + 6q = (-15 + 15q) Solving 12 + 6q = -15 + 15q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-15q' to each side of the equation. 12 + 6q + -15q = -15 + 15q + -15q Combine like terms: 6q + -15q = -9q 12 + -9q = -15 + 15q + -15q Combine like terms: 15q + -15q = 0 12 + -9q = -15 + 0 12 + -9q = -15 Add '-12' to each side of the equation. 12 + -12 + -9q = -15 + -12 Combine like terms: 12 + -12 = 0 0 + -9q = -15 + -12 -9q = -15 + -12 Combine like terms: -15 + -12 = -27 -9q = -27 Divide each side by '-9'. q = 3 Simplifying q = 3
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