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Simplifying -3(d + -5) = 2(4s + -9) Reorder the terms: -3(-5 + d) = 2(4s + -9) (-5 * -3 + d * -3) = 2(4s + -9) (15 + -3d) = 2(4s + -9) Reorder the terms: 15 + -3d = 2(-9 + 4s) 15 + -3d = (-9 * 2 + 4s * 2) 15 + -3d = (-18 + 8s) Solving 15 + -3d = -18 + 8s Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -3d = -18 + -15 + 8s Combine like terms: 15 + -15 = 0 0 + -3d = -18 + -15 + 8s -3d = -18 + -15 + 8s Combine like terms: -18 + -15 = -33 -3d = -33 + 8s Divide each side by '-3'. d = 11 + -2.666666667s Simplifying d = 11 + -2.666666667s
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