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Simplifying 2(d + 2) + -3 = 12 + -1(d + -1) Reorder the terms: 2(2 + d) + -3 = 12 + -1(d + -1) (2 * 2 + d * 2) + -3 = 12 + -1(d + -1) (4 + 2d) + -3 = 12 + -1(d + -1) Reorder the terms: 4 + -3 + 2d = 12 + -1(d + -1) Combine like terms: 4 + -3 = 1 1 + 2d = 12 + -1(d + -1) Reorder the terms: 1 + 2d = 12 + -1(-1 + d) 1 + 2d = 12 + (-1 * -1 + d * -1) 1 + 2d = 12 + (1 + -1d) Combine like terms: 12 + 1 = 13 1 + 2d = 13 + -1d Solving 1 + 2d = 13 + -1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add 'd' to each side of the equation. 1 + 2d + d = 13 + -1d + d Combine like terms: 2d + d = 3d 1 + 3d = 13 + -1d + d Combine like terms: -1d + d = 0 1 + 3d = 13 + 0 1 + 3d = 13 Add '-1' to each side of the equation. 1 + -1 + 3d = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 3d = 13 + -1 3d = 13 + -1 Combine like terms: 13 + -1 = 12 3d = 12 Divide each side by '3'. d = 4 Simplifying d = 4
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