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Simplifying 5(3d + -63) = 6(2d + -8) Reorder the terms: 5(-63 + 3d) = 6(2d + -8) (-63 * 5 + 3d * 5) = 6(2d + -8) (-315 + 15d) = 6(2d + -8) Reorder the terms: -315 + 15d = 6(-8 + 2d) -315 + 15d = (-8 * 6 + 2d * 6) -315 + 15d = (-48 + 12d) Solving -315 + 15d = -48 + 12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12d' to each side of the equation. -315 + 15d + -12d = -48 + 12d + -12d Combine like terms: 15d + -12d = 3d -315 + 3d = -48 + 12d + -12d Combine like terms: 12d + -12d = 0 -315 + 3d = -48 + 0 -315 + 3d = -48 Add '315' to each side of the equation. -315 + 315 + 3d = -48 + 315 Combine like terms: -315 + 315 = 0 0 + 3d = -48 + 315 3d = -48 + 315 Combine like terms: -48 + 315 = 267 3d = 267 Divide each side by '3'. d = 89 Simplifying d = 89
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