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Simplifying (5m + 9) + (9n + -4) + (4d + 7) = 0 Reorder the terms: (9 + 5m) + (9n + -4) + (4d + 7) = 0 Remove parenthesis around (9 + 5m) 9 + 5m + (9n + -4) + (4d + 7) = 0 Reorder the terms: 9 + 5m + (-4 + 9n) + (4d + 7) = 0 Remove parenthesis around (-4 + 9n) 9 + 5m + -4 + 9n + (4d + 7) = 0 Reorder the terms: 9 + 5m + -4 + 9n + (7 + 4d) = 0 Remove parenthesis around (7 + 4d) 9 + 5m + -4 + 9n + 7 + 4d = 0 Reorder the terms: 9 + -4 + 7 + 4d + 5m + 9n = 0 Combine like terms: 9 + -4 = 5 5 + 7 + 4d + 5m + 9n = 0 Combine like terms: 5 + 7 = 12 12 + 4d + 5m + 9n = 0 Solving 12 + 4d + 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 + 4d + 5m + -12 + 9n = 0 + -12 Reorder the terms: 12 + -12 + 4d + 5m + 9n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 4d + 5m + 9n = 0 + -12 4d + 5m + 9n = 0 + -12 Combine like terms: 0 + -12 = -12 4d + 5m + 9n = -12 Add '-5m' to each side of the equation. 4d + 5m + -5m + 9n = -12 + -5m Combine like terms: 5m + -5m = 0 4d + 0 + 9n = -12 + -5m 4d + 9n = -12 + -5m Add '-9n' to each side of the equation. 4d + 9n + -9n = -12 + -5m + -9n Combine like terms: 9n + -9n = 0 4d + 0 = -12 + -5m + -9n 4d = -12 + -5m + -9n Divide each side by '4'. d = -3 + -1.25m + -2.25n Simplifying d = -3 + -1.25m + -2.25n
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