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Simplifying 5(q + 1) = q + 2 Reorder the terms: 5(1 + q) = q + 2 (1 * 5 + q * 5) = q + 2 (5 + 5q) = q + 2 Reorder the terms: 5 + 5q = 2 + q Solving 5 + 5q = 2 + q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. 5 + 5q + -1q = 2 + q + -1q Combine like terms: 5q + -1q = 4q 5 + 4q = 2 + q + -1q Combine like terms: q + -1q = 0 5 + 4q = 2 + 0 5 + 4q = 2 Add '-5' to each side of the equation. 5 + -5 + 4q = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 4q = 2 + -5 4q = 2 + -5 Combine like terms: 2 + -5 = -3 4q = -3 Divide each side by '4'. q = -0.75 Simplifying q = -0.75
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