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Simplifying 5(q + 2) = 2q Reorder the terms: 5(2 + q) = 2q (2 * 5 + q * 5) = 2q (10 + 5q) = 2q Solving 10 + 5q = 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. 10 + 5q + -2q = 2q + -2q Combine like terms: 5q + -2q = 3q 10 + 3q = 2q + -2q Combine like terms: 2q + -2q = 0 10 + 3q = 0 Add '-10' to each side of the equation. 10 + -10 + 3q = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3q = 0 + -10 3q = 0 + -10 Combine like terms: 0 + -10 = -10 3q = -10 Divide each side by '3'. q = -3.333333333 Simplifying q = -3.333333333
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