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Simplifying 5[4(2m + n + 3) + -6m + -1] + 2(5m + -1n) = 0 Reorder the terms: 5[4(3 + 2m + n) + -6m + -1] + 2(5m + -1n) = 0 5[(3 * 4 + 2m * 4 + n * 4) + -6m + -1] + 2(5m + -1n) = 0 5[(12 + 8m + 4n) + -6m + -1] + 2(5m + -1n) = 0 Reorder the terms: 5[12 + -1 + 8m + -6m + 4n] + 2(5m + -1n) = 0 Combine like terms: 12 + -1 = 11 5[11 + 8m + -6m + 4n] + 2(5m + -1n) = 0 Combine like terms: 8m + -6m = 2m 5[11 + 2m + 4n] + 2(5m + -1n) = 0 [11 * 5 + 2m * 5 + 4n * 5] + 2(5m + -1n) = 0 [55 + 10m + 20n] + 2(5m + -1n) = 0 55 + 10m + 20n + (5m * 2 + -1n * 2) = 0 55 + 10m + 20n + (10m + -2n) = 0 Reorder the terms: 55 + 10m + 10m + 20n + -2n = 0 Combine like terms: 10m + 10m = 20m 55 + 20m + 20n + -2n = 0 Combine like terms: 20n + -2n = 18n 55 + 20m + 18n = 0 Solving 55 + 20m + 18n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + 20m + -55 + 18n = 0 + -55 Reorder the terms: 55 + -55 + 20m + 18n = 0 + -55 Combine like terms: 55 + -55 = 0 0 + 20m + 18n = 0 + -55 20m + 18n = 0 + -55 Combine like terms: 0 + -55 = -55 20m + 18n = -55 Add '-18n' to each side of the equation. 20m + 18n + -18n = -55 + -18n Combine like terms: 18n + -18n = 0 20m + 0 = -55 + -18n 20m = -55 + -18n Divide each side by '20'. m = -2.75 + -0.9n Simplifying m = -2.75 + -0.9n
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