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Simplifying -4(13 + 5d) = -3(8d + 8) (13 * -4 + 5d * -4) = -3(8d + 8) (-52 + -20d) = -3(8d + 8) Reorder the terms: -52 + -20d = -3(8 + 8d) -52 + -20d = (8 * -3 + 8d * -3) -52 + -20d = (-24 + -24d) Solving -52 + -20d = -24 + -24d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '24d' to each side of the equation. -52 + -20d + 24d = -24 + -24d + 24d Combine like terms: -20d + 24d = 4d -52 + 4d = -24 + -24d + 24d Combine like terms: -24d + 24d = 0 -52 + 4d = -24 + 0 -52 + 4d = -24 Add '52' to each side of the equation. -52 + 52 + 4d = -24 + 52 Combine like terms: -52 + 52 = 0 0 + 4d = -24 + 52 4d = -24 + 52 Combine like terms: -24 + 52 = 28 4d = 28 Divide each side by '4'. d = 7 Simplifying d = 7
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