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Simplifying 5n + -6m + 3 + -7n + 10m = 0 Reorder the terms: 3 + -6m + 10m + 5n + -7n = 0 Combine like terms: -6m + 10m = 4m 3 + 4m + 5n + -7n = 0 Combine like terms: 5n + -7n = -2n 3 + 4m + -2n = 0 Solving 3 + 4m + -2n = 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 + 4m + -3 + -2n = 0 + -3 Reorder the terms: 3 + -3 + 4m + -2n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4m + -2n = 0 + -3 4m + -2n = 0 + -3 Combine like terms: 0 + -3 = -3 4m + -2n = -3 Add '2n' to each side of the equation. 4m + -2n + 2n = -3 + 2n Combine like terms: -2n + 2n = 0 4m + 0 = -3 + 2n 4m = -3 + 2n Divide each side by '4'. m = -0.75 + 0.5n Simplifying m = -0.75 + 0.5n
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