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Simplifying (4m + 6) + (5n + 9) = 0 Reorder the terms: (6 + 4m) + (5n + 9) = 0 Remove parenthesis around (6 + 4m) 6 + 4m + (5n + 9) = 0 Reorder the terms: 6 + 4m + (9 + 5n) = 0 Remove parenthesis around (9 + 5n) 6 + 4m + 9 + 5n = 0 Reorder the terms: 6 + 9 + 4m + 5n = 0 Combine like terms: 6 + 9 = 15 15 + 4m + 5n = 0 Solving 15 + 4m + 5n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 4m + -15 + 5n = 0 + -15 Reorder the terms: 15 + -15 + 4m + 5n = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 4m + 5n = 0 + -15 4m + 5n = 0 + -15 Combine like terms: 0 + -15 = -15 4m + 5n = -15 Add '-5n' to each side of the equation. 4m + 5n + -5n = -15 + -5n Combine like terms: 5n + -5n = 0 4m + 0 = -15 + -5n 4m = -15 + -5n Divide each side by '4'. m = -3.75 + -1.25n Simplifying m = -3.75 + -1.25n
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