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Simplifying 3(5q + 3) = 8q + 9 Reorder the terms: 3(3 + 5q) = 8q + 9 (3 * 3 + 5q * 3) = 8q + 9 (9 + 15q) = 8q + 9 Reorder the terms: 9 + 15q = 9 + 8q Add '-9' to each side of the equation. 9 + -9 + 15q = 9 + -9 + 8q Combine like terms: 9 + -9 = 0 0 + 15q = 9 + -9 + 8q 15q = 9 + -9 + 8q Combine like terms: 9 + -9 = 0 15q = 0 + 8q 15q = 8q Solving 15q = 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. 15q + -8q = 8q + -8q Combine like terms: 15q + -8q = 7q 7q = 8q + -8q Combine like terms: 8q + -8q = 0 7q = 0 Divide each side by '7'. q = 0 Simplifying q = 0
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