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Simplifying 10m + 12 + 5n + 3m + -3n = 0 Reorder the terms: 12 + 10m + 3m + 5n + -3n = 0 Combine like terms: 10m + 3m = 13m 12 + 13m + 5n + -3n = 0 Combine like terms: 5n + -3n = 2n 12 + 13m + 2n = 0 Solving 12 + 13m + 2n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 13m + -12 + 2n = 0 + -12 Reorder the terms: 12 + -12 + 13m + 2n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 13m + 2n = 0 + -12 13m + 2n = 0 + -12 Combine like terms: 0 + -12 = -12 13m + 2n = -12 Add '-2n' to each side of the equation. 13m + 2n + -2n = -12 + -2n Combine like terms: 2n + -2n = 0 13m + 0 = -12 + -2n 13m = -12 + -2n Divide each side by '13'. m = -0.9230769231 + -0.1538461538n Simplifying m = -0.9230769231 + -0.1538461538n
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