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Simplifying 3(4q + 5) = 51 Reorder the terms: 3(5 + 4q) = 51 (5 * 3 + 4q * 3) = 51 (15 + 12q) = 51 Solving 15 + 12q = 51 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 + 12q = 51 + -15 Combine like terms: 15 + -15 = 0 0 + 12q = 51 + -15 12q = 51 + -15 Combine like terms: 51 + -15 = 36 12q = 36 Divide each side by '12'. q = 3 Simplifying q = 3
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