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Simplifying 5(3 + q) = 3(q + -3) + -4q (3 * 5 + q * 5) = 3(q + -3) + -4q (15 + 5q) = 3(q + -3) + -4q Reorder the terms: 15 + 5q = 3(-3 + q) + -4q 15 + 5q = (-3 * 3 + q * 3) + -4q 15 + 5q = (-9 + 3q) + -4q Combine like terms: 3q + -4q = -1q 15 + 5q = -9 + -1q Solving 15 + 5q = -9 + -1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add 'q' to each side of the equation. 15 + 5q + q = -9 + -1q + q Combine like terms: 5q + q = 6q 15 + 6q = -9 + -1q + q Combine like terms: -1q + q = 0 15 + 6q = -9 + 0 15 + 6q = -9 Add '-15' to each side of the equation. 15 + -15 + 6q = -9 + -15 Combine like terms: 15 + -15 = 0 0 + 6q = -9 + -15 6q = -9 + -15 Combine like terms: -9 + -15 = -24 6q = -24 Divide each side by '6'. q = -4 Simplifying q = -4
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