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Simplifying 3(d + 1) = 3 + 4(d + 5) Reorder the terms: 3(1 + d) = 3 + 4(d + 5) (1 * 3 + d * 3) = 3 + 4(d + 5) (3 + 3d) = 3 + 4(d + 5) Reorder the terms: 3 + 3d = 3 + 4(5 + d) 3 + 3d = 3 + (5 * 4 + d * 4) 3 + 3d = 3 + (20 + 4d) Combine like terms: 3 + 20 = 23 3 + 3d = 23 + 4d Solving 3 + 3d = 23 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 3 + 3d + -4d = 23 + 4d + -4d Combine like terms: 3d + -4d = -1d 3 + -1d = 23 + 4d + -4d Combine like terms: 4d + -4d = 0 3 + -1d = 23 + 0 3 + -1d = 23 Add '-3' to each side of the equation. 3 + -3 + -1d = 23 + -3 Combine like terms: 3 + -3 = 0 0 + -1d = 23 + -3 -1d = 23 + -3 Combine like terms: 23 + -3 = 20 -1d = 20 Divide each side by '-1'. d = -20 Simplifying d = -20
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