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Simplifying 3(d + 8) + -1d = -1(5 + -1d) Reorder the terms: 3(8 + d) + -1d = -1(5 + -1d) (8 * 3 + d * 3) + -1d = -1(5 + -1d) (24 + 3d) + -1d = -1(5 + -1d) Combine like terms: 3d + -1d = 2d 24 + 2d = -1(5 + -1d) 24 + 2d = (5 * -1 + -1d * -1) 24 + 2d = (-5 + 1d) Solving 24 + 2d = -5 + 1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. 24 + 2d + -1d = -5 + 1d + -1d Combine like terms: 2d + -1d = 1d 24 + 1d = -5 + 1d + -1d Combine like terms: 1d + -1d = 0 24 + 1d = -5 + 0 24 + 1d = -5 Add '-24' to each side of the equation. 24 + -24 + 1d = -5 + -24 Combine like terms: 24 + -24 = 0 0 + 1d = -5 + -24 1d = -5 + -24 Combine like terms: -5 + -24 = -29 1d = -29 Divide each side by '1'. d = -29 Simplifying d = -29
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