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Simplifying 10m + 12 = 5n + 3m + -3n Reorder the terms: 12 + 10m = 5n + 3m + -3n Reorder the terms: 12 + 10m = 3m + 5n + -3n Combine like terms: 5n + -3n = 2n 12 + 10m = 3m + 2n Solving 12 + 10m = 3m + 2n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 12 + 10m + -3m = 3m + -3m + 2n Combine like terms: 10m + -3m = 7m 12 + 7m = 3m + -3m + 2n Combine like terms: 3m + -3m = 0 12 + 7m = 0 + 2n 12 + 7m = 2n Add '-12' to each side of the equation. 12 + -12 + 7m = -12 + 2n Combine like terms: 12 + -12 = 0 0 + 7m = -12 + 2n 7m = -12 + 2n Divide each side by '7'. m = -1.714285714 + 0.2857142857n Simplifying m = -1.714285714 + 0.2857142857n
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