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Simplifying -1(5 + 20d) = -5(-15 + 8d) (5 * -1 + 20d * -1) = -5(-15 + 8d) (-5 + -20d) = -5(-15 + 8d) -5 + -20d = (-15 * -5 + 8d * -5) -5 + -20d = (75 + -40d) Solving -5 + -20d = 75 + -40d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '40d' to each side of the equation. -5 + -20d + 40d = 75 + -40d + 40d Combine like terms: -20d + 40d = 20d -5 + 20d = 75 + -40d + 40d Combine like terms: -40d + 40d = 0 -5 + 20d = 75 + 0 -5 + 20d = 75 Add '5' to each side of the equation. -5 + 5 + 20d = 75 + 5 Combine like terms: -5 + 5 = 0 0 + 20d = 75 + 5 20d = 75 + 5 Combine like terms: 75 + 5 = 80 20d = 80 Divide each side by '20'. d = 4 Simplifying d = 4
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