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Simplifying 8m + 3n + -6m + -1n = 0 Reorder the terms: 8m + -6m + 3n + -1n = 0 Combine like terms: 8m + -6m = 2m 2m + 3n + -1n = 0 Combine like terms: 3n + -1n = 2n 2m + 2n = 0 Solving 2m + 2n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2n' to each side of the equation. 2m + 2n + -2n = 0 + -2n Combine like terms: 2n + -2n = 0 2m + 0 = 0 + -2n 2m = 0 + -2n Remove the zero: 2m = -2n Divide each side by '2'. m = -1n Simplifying m = -1n
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