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Simplifying 5(6 + -1q) = 3(q + 2) (6 * 5 + -1q * 5) = 3(q + 2) (30 + -5q) = 3(q + 2) Reorder the terms: 30 + -5q = 3(2 + q) 30 + -5q = (2 * 3 + q * 3) 30 + -5q = (6 + 3q) Solving 30 + -5q = 6 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. 30 + -5q + -3q = 6 + 3q + -3q Combine like terms: -5q + -3q = -8q 30 + -8q = 6 + 3q + -3q Combine like terms: 3q + -3q = 0 30 + -8q = 6 + 0 30 + -8q = 6 Add '-30' to each side of the equation. 30 + -30 + -8q = 6 + -30 Combine like terms: 30 + -30 = 0 0 + -8q = 6 + -30 -8q = 6 + -30 Combine like terms: 6 + -30 = -24 -8q = -24 Divide each side by '-8'. q = 3 Simplifying q = 3
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