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Simplifying -3(d + -5) = 2(d + 5) Reorder the terms: -3(-5 + d) = 2(d + 5) (-5 * -3 + d * -3) = 2(d + 5) (15 + -3d) = 2(d + 5) Reorder the terms: 15 + -3d = 2(5 + d) 15 + -3d = (5 * 2 + d * 2) 15 + -3d = (10 + 2d) Solving 15 + -3d = 10 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 15 + -3d + -2d = 10 + 2d + -2d Combine like terms: -3d + -2d = -5d 15 + -5d = 10 + 2d + -2d Combine like terms: 2d + -2d = 0 15 + -5d = 10 + 0 15 + -5d = 10 Add '-15' to each side of the equation. 15 + -15 + -5d = 10 + -15 Combine like terms: 15 + -15 = 0 0 + -5d = 10 + -15 -5d = 10 + -15 Combine like terms: 10 + -15 = -5 -5d = -5 Divide each side by '-5'. d = 1 Simplifying d = 1
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