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Simplifying 5m + 2n + -9(2m + -7n) = 0 5m + 2n + (2m * -9 + -7n * -9) = 0 5m + 2n + (-18m + 63n) = 0 Reorder the terms: 5m + -18m + 2n + 63n = 0 Combine like terms: 5m + -18m = -13m -13m + 2n + 63n = 0 Combine like terms: 2n + 63n = 65n -13m + 65n = 0 Solving -13m + 65n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-65n' to each side of the equation. -13m + 65n + -65n = 0 + -65n Combine like terms: 65n + -65n = 0 -13m + 0 = 0 + -65n -13m = 0 + -65n Remove the zero: -13m = -65n Divide each side by '-13'. m = 5n Simplifying m = 5n
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