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Simplifying 4 + -1(4d + 3) = 8d + -3(d + 13) Reorder the terms: 4 + -1(3 + 4d) = 8d + -3(d + 13) 4 + (3 * -1 + 4d * -1) = 8d + -3(d + 13) 4 + (-3 + -4d) = 8d + -3(d + 13) Combine like terms: 4 + -3 = 1 1 + -4d = 8d + -3(d + 13) Reorder the terms: 1 + -4d = 8d + -3(13 + d) 1 + -4d = 8d + (13 * -3 + d * -3) 1 + -4d = 8d + (-39 + -3d) Reorder the terms: 1 + -4d = -39 + 8d + -3d Combine like terms: 8d + -3d = 5d 1 + -4d = -39 + 5d Solving 1 + -4d = -39 + 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. 1 + -4d + -5d = -39 + 5d + -5d Combine like terms: -4d + -5d = -9d 1 + -9d = -39 + 5d + -5d Combine like terms: 5d + -5d = 0 1 + -9d = -39 + 0 1 + -9d = -39 Add '-1' to each side of the equation. 1 + -1 + -9d = -39 + -1 Combine like terms: 1 + -1 = 0 0 + -9d = -39 + -1 -9d = -39 + -1 Combine like terms: -39 + -1 = -40 -9d = -40 Divide each side by '-9'. d = 4.444444444 Simplifying d = 4.444444444
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