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Simplifying 5m + 5n + -7(8m + -7n) = 0 5m + 5n + (8m * -7 + -7n * -7) = 0 5m + 5n + (-56m + 49n) = 0 Reorder the terms: 5m + -56m + 5n + 49n = 0 Combine like terms: 5m + -56m = -51m -51m + 5n + 49n = 0 Combine like terms: 5n + 49n = 54n -51m + 54n = 0 Solving -51m + 54n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-54n' to each side of the equation. -51m + 54n + -54n = 0 + -54n Combine like terms: 54n + -54n = 0 -51m + 0 = 0 + -54n -51m = 0 + -54n Remove the zero: -51m = -54n Divide each side by '-51'. m = 1.058823529n Simplifying m = 1.058823529n
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