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Simplifying (d + 5) + -2 = -2(d + -6) Reorder the terms: (5 + d) + -2 = -2(d + -6) Remove parenthesis around (5 + d) 5 + d + -2 = -2(d + -6) Reorder the terms: 5 + -2 + d = -2(d + -6) Combine like terms: 5 + -2 = 3 3 + d = -2(d + -6) Reorder the terms: 3 + d = -2(-6 + d) 3 + d = (-6 * -2 + d * -2) 3 + d = (12 + -2d) Solving 3 + d = 12 + -2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2d' to each side of the equation. 3 + d + 2d = 12 + -2d + 2d Combine like terms: d + 2d = 3d 3 + 3d = 12 + -2d + 2d Combine like terms: -2d + 2d = 0 3 + 3d = 12 + 0 3 + 3d = 12 Add '-3' to each side of the equation. 3 + -3 + 3d = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 3d = 12 + -3 3d = 12 + -3 Combine like terms: 12 + -3 = 9 3d = 9 Divide each side by '3'. d = 3 Simplifying d = 3
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