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Simplifying 3(17q + 20) = -8(-9q + -14) + 5q Reorder the terms: 3(20 + 17q) = -8(-9q + -14) + 5q (20 * 3 + 17q * 3) = -8(-9q + -14) + 5q (60 + 51q) = -8(-9q + -14) + 5q Reorder the terms: 60 + 51q = -8(-14 + -9q) + 5q 60 + 51q = (-14 * -8 + -9q * -8) + 5q 60 + 51q = (112 + 72q) + 5q Combine like terms: 72q + 5q = 77q 60 + 51q = 112 + 77q Solving 60 + 51q = 112 + 77q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-77q' to each side of the equation. 60 + 51q + -77q = 112 + 77q + -77q Combine like terms: 51q + -77q = -26q 60 + -26q = 112 + 77q + -77q Combine like terms: 77q + -77q = 0 60 + -26q = 112 + 0 60 + -26q = 112 Add '-60' to each side of the equation. 60 + -60 + -26q = 112 + -60 Combine like terms: 60 + -60 = 0 0 + -26q = 112 + -60 -26q = 112 + -60 Combine like terms: 112 + -60 = 52 -26q = 52 Divide each side by '-26'. q = -2 Simplifying q = -2
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