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Simplifying 4(48m + -7n) + 6(3n + -4m) = 0 (48m * 4 + -7n * 4) + 6(3n + -4m) = 0 (192m + -28n) + 6(3n + -4m) = 0 Reorder the terms: 192m + -28n + 6(-4m + 3n) = 0 192m + -28n + (-4m * 6 + 3n * 6) = 0 192m + -28n + (-24m + 18n) = 0 Reorder the terms: 192m + -24m + -28n + 18n = 0 Combine like terms: 192m + -24m = 168m 168m + -28n + 18n = 0 Combine like terms: -28n + 18n = -10n 168m + -10n = 0 Solving 168m + -10n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10n' to each side of the equation. 168m + -10n + 10n = 0 + 10n Combine like terms: -10n + 10n = 0 168m + 0 = 0 + 10n 168m = 0 + 10n Remove the zero: 168m = 10n Divide each side by '168'. m = 0.05952380952n Simplifying m = 0.05952380952n
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