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Simplifying -5(q + -1) + -3 = 18 + -1(q + 4) Reorder the terms: -5(-1 + q) + -3 = 18 + -1(q + 4) (-1 * -5 + q * -5) + -3 = 18 + -1(q + 4) (5 + -5q) + -3 = 18 + -1(q + 4) Reorder the terms: 5 + -3 + -5q = 18 + -1(q + 4) Combine like terms: 5 + -3 = 2 2 + -5q = 18 + -1(q + 4) Reorder the terms: 2 + -5q = 18 + -1(4 + q) 2 + -5q = 18 + (4 * -1 + q * -1) 2 + -5q = 18 + (-4 + -1q) Combine like terms: 18 + -4 = 14 2 + -5q = 14 + -1q Solving 2 + -5q = 14 + -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. 2 + -5q + q = 14 + -1q + q Combine like terms: -5q + q = -4q 2 + -4q = 14 + -1q + q Combine like terms: -1q + q = 0 2 + -4q = 14 + 0 2 + -4q = 14 Add '-2' to each side of the equation. 2 + -2 + -4q = 14 + -2 Combine like terms: 2 + -2 = 0 0 + -4q = 14 + -2 -4q = 14 + -2 Combine like terms: 14 + -2 = 12 -4q = 12 Divide each side by '-4'. q = -3 Simplifying q = -3
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