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Simplifying 3(2q + 3) = 5(2q + 1) Reorder the terms: 3(3 + 2q) = 5(2q + 1) (3 * 3 + 2q * 3) = 5(2q + 1) (9 + 6q) = 5(2q + 1) Reorder the terms: 9 + 6q = 5(1 + 2q) 9 + 6q = (1 * 5 + 2q * 5) 9 + 6q = (5 + 10q) Solving 9 + 6q = 5 + 10q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-10q' to each side of the equation. 9 + 6q + -10q = 5 + 10q + -10q Combine like terms: 6q + -10q = -4q 9 + -4q = 5 + 10q + -10q Combine like terms: 10q + -10q = 0 9 + -4q = 5 + 0 9 + -4q = 5 Add '-9' to each side of the equation. 9 + -9 + -4q = 5 + -9 Combine like terms: 9 + -9 = 0 0 + -4q = 5 + -9 -4q = 5 + -9 Combine like terms: 5 + -9 = -4 -4q = -4 Divide each side by '-4'. q = 1 Simplifying q = 1
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