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Simplifying 5(d + 2) = 3(d + -5) Reorder the terms: 5(2 + d) = 3(d + -5) (2 * 5 + d * 5) = 3(d + -5) (10 + 5d) = 3(d + -5) Reorder the terms: 10 + 5d = 3(-5 + d) 10 + 5d = (-5 * 3 + d * 3) 10 + 5d = (-15 + 3d) Solving 10 + 5d = -15 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. 10 + 5d + -3d = -15 + 3d + -3d Combine like terms: 5d + -3d = 2d 10 + 2d = -15 + 3d + -3d Combine like terms: 3d + -3d = 0 10 + 2d = -15 + 0 10 + 2d = -15 Add '-10' to each side of the equation. 10 + -10 + 2d = -15 + -10 Combine like terms: 10 + -10 = 0 0 + 2d = -15 + -10 2d = -15 + -10 Combine like terms: -15 + -10 = -25 2d = -25 Divide each side by '2'. d = -12.5 Simplifying d = -12.5
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