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Simplifying 3m + 6n + -7(8m + -6n) = 0 3m + 6n + (8m * -7 + -6n * -7) = 0 3m + 6n + (-56m + 42n) = 0 Reorder the terms: 3m + -56m + 6n + 42n = 0 Combine like terms: 3m + -56m = -53m -53m + 6n + 42n = 0 Combine like terms: 6n + 42n = 48n -53m + 48n = 0 Solving -53m + 48n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-48n' to each side of the equation. -53m + 48n + -48n = 0 + -48n Combine like terms: 48n + -48n = 0 -53m + 0 = 0 + -48n -53m = 0 + -48n Remove the zero: -53m = -48n Divide each side by '-53'. m = 0.9056603774n Simplifying m = 0.9056603774n
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