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Simplifying 4m + 2n + -7(6m + -9n) = 0 4m + 2n + (6m * -7 + -9n * -7) = 0 4m + 2n + (-42m + 63n) = 0 Reorder the terms: 4m + -42m + 2n + 63n = 0 Combine like terms: 4m + -42m = -38m -38m + 2n + 63n = 0 Combine like terms: 2n + 63n = 65n -38m + 65n = 0 Solving -38m + 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. -38m + 65n + -65n = 0 + -65n Combine like terms: 65n + -65n = 0 -38m + 0 = 0 + -65n -38m = 0 + -65n Remove the zero: -38m = -65n Divide each side by '-38'. m = 1.710526316n Simplifying m = 1.710526316n
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