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Simplifying 2(d + 4) + -5 = 5(d + 3) Reorder the terms: 2(4 + d) + -5 = 5(d + 3) (4 * 2 + d * 2) + -5 = 5(d + 3) (8 + 2d) + -5 = 5(d + 3) Reorder the terms: 8 + -5 + 2d = 5(d + 3) Combine like terms: 8 + -5 = 3 3 + 2d = 5(d + 3) Reorder the terms: 3 + 2d = 5(3 + d) 3 + 2d = (3 * 5 + d * 5) 3 + 2d = (15 + 5d) Solving 3 + 2d = 15 + 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. 3 + 2d + -5d = 15 + 5d + -5d Combine like terms: 2d + -5d = -3d 3 + -3d = 15 + 5d + -5d Combine like terms: 5d + -5d = 0 3 + -3d = 15 + 0 3 + -3d = 15 Add '-3' to each side of the equation. 3 + -3 + -3d = 15 + -3 Combine like terms: 3 + -3 = 0 0 + -3d = 15 + -3 -3d = 15 + -3 Combine like terms: 15 + -3 = 12 -3d = 12 Divide each side by '-3'. d = -4 Simplifying d = -4
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