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Simplifying 5(2q + 1) = 2(q + 3) Reorder the terms: 5(1 + 2q) = 2(q + 3) (1 * 5 + 2q * 5) = 2(q + 3) (5 + 10q) = 2(q + 3) Reorder the terms: 5 + 10q = 2(3 + q) 5 + 10q = (3 * 2 + q * 2) 5 + 10q = (6 + 2q) Solving 5 + 10q = 6 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. 5 + 10q + -2q = 6 + 2q + -2q Combine like terms: 10q + -2q = 8q 5 + 8q = 6 + 2q + -2q Combine like terms: 2q + -2q = 0 5 + 8q = 6 + 0 5 + 8q = 6 Add '-5' to each side of the equation. 5 + -5 + 8q = 6 + -5 Combine like terms: 5 + -5 = 0 0 + 8q = 6 + -5 8q = 6 + -5 Combine like terms: 6 + -5 = 1 8q = 1 Divide each side by '8'. q = 0.125 Simplifying q = 0.125
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