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Simplifying (7 + 2d) + (-3 + 9n) + (8 + 5m) = 0 Remove parenthesis around (7 + 2d) 7 + 2d + (-3 + 9n) + (8 + 5m) = 0 Remove parenthesis around (-3 + 9n) 7 + 2d + -3 + 9n + (8 + 5m) = 0 Remove parenthesis around (8 + 5m) 7 + 2d + -3 + 9n + 8 + 5m = 0 Reorder the terms: 7 + -3 + 8 + 2d + 5m + 9n = 0 Combine like terms: 7 + -3 = 4 4 + 8 + 2d + 5m + 9n = 0 Combine like terms: 4 + 8 = 12 12 + 2d + 5m + 9n = 0 Solving 12 + 2d + 5m + 9n = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 2d + 5m + -12 + 9n = 0 + -12 Reorder the terms: 12 + -12 + 2d + 5m + 9n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2d + 5m + 9n = 0 + -12 2d + 5m + 9n = 0 + -12 Combine like terms: 0 + -12 = -12 2d + 5m + 9n = -12 Add '-5m' to each side of the equation. 2d + 5m + -5m + 9n = -12 + -5m Combine like terms: 5m + -5m = 0 2d + 0 + 9n = -12 + -5m 2d + 9n = -12 + -5m Add '-9n' to each side of the equation. 2d + 9n + -9n = -12 + -5m + -9n Combine like terms: 9n + -9n = 0 2d + 0 = -12 + -5m + -9n 2d = -12 + -5m + -9n Divide each side by '2'. d = -6 + -2.5m + -4.5n Simplifying d = -6 + -2.5m + -4.5n
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