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Simplifying 8m + 4n + -4(5m + -7n) = 0 8m + 4n + (5m * -4 + -7n * -4) = 0 8m + 4n + (-20m + 28n) = 0 Reorder the terms: 8m + -20m + 4n + 28n = 0 Combine like terms: 8m + -20m = -12m -12m + 4n + 28n = 0 Combine like terms: 4n + 28n = 32n -12m + 32n = 0 Solving -12m + 32n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-32n' to each side of the equation. -12m + 32n + -32n = 0 + -32n Combine like terms: 32n + -32n = 0 -12m + 0 = 0 + -32n -12m = 0 + -32n Remove the zero: -12m = -32n Divide each side by '-12'. m = 2.666666667n Simplifying m = 2.666666667n
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