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Simplifying 5(-2d + 17) = 7(-1d + -15) + 2d Reorder the terms: 5(17 + -2d) = 7(-1d + -15) + 2d (17 * 5 + -2d * 5) = 7(-1d + -15) + 2d (85 + -10d) = 7(-1d + -15) + 2d Reorder the terms: 85 + -10d = 7(-15 + -1d) + 2d 85 + -10d = (-15 * 7 + -1d * 7) + 2d 85 + -10d = (-105 + -7d) + 2d Combine like terms: -7d + 2d = -5d 85 + -10d = -105 + -5d Solving 85 + -10d = -105 + -5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '5d' to each side of the equation. 85 + -10d + 5d = -105 + -5d + 5d Combine like terms: -10d + 5d = -5d 85 + -5d = -105 + -5d + 5d Combine like terms: -5d + 5d = 0 85 + -5d = -105 + 0 85 + -5d = -105 Add '-85' to each side of the equation. 85 + -85 + -5d = -105 + -85 Combine like terms: 85 + -85 = 0 0 + -5d = -105 + -85 -5d = -105 + -85 Combine like terms: -105 + -85 = -190 -5d = -190 Divide each side by '-5'. d = 38 Simplifying d = 38
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