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Simplifying 6m + 7n + -10m + 8(m + -3n) = 0 6m + 7n + -10m + (m * 8 + -3n * 8) = 0 6m + 7n + -10m + (8m + -24n) = 0 Reorder the terms: 6m + -10m + 8m + 7n + -24n = 0 Combine like terms: 6m + -10m = -4m -4m + 8m + 7n + -24n = 0 Combine like terms: -4m + 8m = 4m 4m + 7n + -24n = 0 Combine like terms: 7n + -24n = -17n 4m + -17n = 0 Solving 4m + -17n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '17n' to each side of the equation. 4m + -17n + 17n = 0 + 17n Combine like terms: -17n + 17n = 0 4m + 0 = 0 + 17n 4m = 0 + 17n Remove the zero: 4m = 17n Divide each side by '4'. m = 4.25n Simplifying m = 4.25n
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