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Simplifying 8(2m + -3n) + (3n + -2m) = 0 (2m * 8 + -3n * 8) + (3n + -2m) = 0 (16m + -24n) + (3n + -2m) = 0 Reorder the terms: 16m + -24n + (-2m + 3n) = 0 Remove parenthesis around (-2m + 3n) 16m + -24n + -2m + 3n = 0 Reorder the terms: 16m + -2m + -24n + 3n = 0 Combine like terms: 16m + -2m = 14m 14m + -24n + 3n = 0 Combine like terms: -24n + 3n = -21n 14m + -21n = 0 Solving 14m + -21n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '21n' to each side of the equation. 14m + -21n + 21n = 0 + 21n Combine like terms: -21n + 21n = 0 14m + 0 = 0 + 21n 14m = 0 + 21n Remove the zero: 14m = 21n Divide each side by '14'. m = 1.5n Simplifying m = 1.5n
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