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Simplifying 3(2q + 5) = 6(7 + 4) Reorder the terms: 3(5 + 2q) = 6(7 + 4) (5 * 3 + 2q * 3) = 6(7 + 4) (15 + 6q) = 6(7 + 4) Combine like terms: 7 + 4 = 11 15 + 6q = 6(11) Multiply 6 * 11 15 + 6q = 66 Solving 15 + 6q = 66 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 6q = 66 + -15 Combine like terms: 15 + -15 = 0 0 + 6q = 66 + -15 6q = 66 + -15 Combine like terms: 66 + -15 = 51 6q = 51 Divide each side by '6'. q = 8.5 Simplifying q = 8.5
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