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Simplifying -5(-17 + -13d) = -4(10 + -15d) (-17 * -5 + -13d * -5) = -4(10 + -15d) (85 + 65d) = -4(10 + -15d) 85 + 65d = (10 * -4 + -15d * -4) 85 + 65d = (-40 + 60d) Solving 85 + 65d = -40 + 60d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-60d' to each side of the equation. 85 + 65d + -60d = -40 + 60d + -60d Combine like terms: 65d + -60d = 5d 85 + 5d = -40 + 60d + -60d Combine like terms: 60d + -60d = 0 85 + 5d = -40 + 0 85 + 5d = -40 Add '-85' to each side of the equation. 85 + -85 + 5d = -40 + -85 Combine like terms: 85 + -85 = 0 0 + 5d = -40 + -85 5d = -40 + -85 Combine like terms: -40 + -85 = -125 5d = -125 Divide each side by '5'. d = -25 Simplifying d = -25
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