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Simplifying 5n + -6m + 3 + -7m + 10m = 0 Reorder the terms: 3 + -6m + -7m + 10m + 5n = 0 Combine like terms: -6m + -7m = -13m 3 + -13m + 10m + 5n = 0 Combine like terms: -13m + 10m = -3m 3 + -3m + 5n = 0 Solving 3 + -3m + 5n = 0 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 + -3m + -3 + 5n = 0 + -3 Reorder the terms: 3 + -3 + -3m + 5n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -3m + 5n = 0 + -3 -3m + 5n = 0 + -3 Combine like terms: 0 + -3 = -3 -3m + 5n = -3 Add '-5n' to each side of the equation. -3m + 5n + -5n = -3 + -5n Combine like terms: 5n + -5n = 0 -3m + 0 = -3 + -5n -3m = -3 + -5n Divide each side by '-3'. m = 1 + 1.666666667n Simplifying m = 1 + 1.666666667n
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