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Simplifying 3(5 + -1q) = -2(4q + 3) (5 * 3 + -1q * 3) = -2(4q + 3) (15 + -3q) = -2(4q + 3) Reorder the terms: 15 + -3q = -2(3 + 4q) 15 + -3q = (3 * -2 + 4q * -2) 15 + -3q = (-6 + -8q) Solving 15 + -3q = -6 + -8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '8q' to each side of the equation. 15 + -3q + 8q = -6 + -8q + 8q Combine like terms: -3q + 8q = 5q 15 + 5q = -6 + -8q + 8q Combine like terms: -8q + 8q = 0 15 + 5q = -6 + 0 15 + 5q = -6 Add '-15' to each side of the equation. 15 + -15 + 5q = -6 + -15 Combine like terms: 15 + -15 = 0 0 + 5q = -6 + -15 5q = -6 + -15 Combine like terms: -6 + -15 = -21 5q = -21 Divide each side by '5'. q = -4.2 Simplifying q = -4.2
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