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Simplifying 5m + 9n + -7(8m + -7n) = 0 5m + 9n + (8m * -7 + -7n * -7) = 0 5m + 9n + (-56m + 49n) = 0 Reorder the terms: 5m + -56m + 9n + 49n = 0 Combine like terms: 5m + -56m = -51m -51m + 9n + 49n = 0 Combine like terms: 9n + 49n = 58n -51m + 58n = 0 Solving -51m + 58n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-58n' to each side of the equation. -51m + 58n + -58n = 0 + -58n Combine like terms: 58n + -58n = 0 -51m + 0 = 0 + -58n -51m = 0 + -58n Remove the zero: -51m = -58n Divide each side by '-51'. m = 1.137254902n Simplifying m = 1.137254902n
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