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Simplifying 10m + 12 + -9 + -7n + 4n = 31 Reorder the terms: 12 + -9 + 10m + -7n + 4n = 31 Combine like terms: 12 + -9 = 3 3 + 10m + -7n + 4n = 31 Combine like terms: -7n + 4n = -3n 3 + 10m + -3n = 31 Solving 3 + 10m + -3n = 31 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 10m + -3 + -3n = 31 + -3 Reorder the terms: 3 + -3 + 10m + -3n = 31 + -3 Combine like terms: 3 + -3 = 0 0 + 10m + -3n = 31 + -3 10m + -3n = 31 + -3 Combine like terms: 31 + -3 = 28 10m + -3n = 28 Add '3n' to each side of the equation. 10m + -3n + 3n = 28 + 3n Combine like terms: -3n + 3n = 0 10m + 0 = 28 + 3n 10m = 28 + 3n Divide each side by '10'. m = 2.8 + 0.3n Simplifying m = 2.8 + 0.3n
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