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Simplifying 5m + 7 + -1m + 2n + -5 + 3n = 0 Reorder the terms: 7 + -5 + 5m + -1m + 2n + 3n = 0 Combine like terms: 7 + -5 = 2 2 + 5m + -1m + 2n + 3n = 0 Combine like terms: 5m + -1m = 4m 2 + 4m + 2n + 3n = 0 Combine like terms: 2n + 3n = 5n 2 + 4m + 5n = 0 Solving 2 + 4m + 5n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 4m + -2 + 5n = 0 + -2 Reorder the terms: 2 + -2 + 4m + 5n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 4m + 5n = 0 + -2 4m + 5n = 0 + -2 Combine like terms: 0 + -2 = -2 4m + 5n = -2 Add '-5n' to each side of the equation. 4m + 5n + -5n = -2 + -5n Combine like terms: 5n + -5n = 0 4m + 0 = -2 + -5n 4m = -2 + -5n Divide each side by '4'. m = -0.5 + -1.25n Simplifying m = -0.5 + -1.25n
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