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Simplifying (5m + 8) + (6d + -4) + (9n + 6) = 0 Reorder the terms: (8 + 5m) + (6d + -4) + (9n + 6) = 0 Remove parenthesis around (8 + 5m) 8 + 5m + (6d + -4) + (9n + 6) = 0 Reorder the terms: 8 + 5m + (-4 + 6d) + (9n + 6) = 0 Remove parenthesis around (-4 + 6d) 8 + 5m + -4 + 6d + (9n + 6) = 0 Reorder the terms: 8 + 5m + -4 + 6d + (6 + 9n) = 0 Remove parenthesis around (6 + 9n) 8 + 5m + -4 + 6d + 6 + 9n = 0 Reorder the terms: 8 + -4 + 6 + 6d + 5m + 9n = 0 Combine like terms: 8 + -4 = 4 4 + 6 + 6d + 5m + 9n = 0 Combine like terms: 4 + 6 = 10 10 + 6d + 5m + 9n = 0 Solving 10 + 6d + 5m + 9n = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 6d + 5m + -10 + 9n = 0 + -10 Reorder the terms: 10 + -10 + 6d + 5m + 9n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 6d + 5m + 9n = 0 + -10 6d + 5m + 9n = 0 + -10 Combine like terms: 0 + -10 = -10 6d + 5m + 9n = -10 Add '-5m' to each side of the equation. 6d + 5m + -5m + 9n = -10 + -5m Combine like terms: 5m + -5m = 0 6d + 0 + 9n = -10 + -5m 6d + 9n = -10 + -5m Add '-9n' to each side of the equation. 6d + 9n + -9n = -10 + -5m + -9n Combine like terms: 9n + -9n = 0 6d + 0 = -10 + -5m + -9n 6d = -10 + -5m + -9n Divide each side by '6'. d = -1.666666667 + -0.8333333333m + -1.5n Simplifying d = -1.666666667 + -0.8333333333m + -1.5n
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