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Simplifying -8n + 4(1 + 5m) = -6n + -14 -8n + (1 * 4 + 5m * 4) = -6n + -14 -8n + (4 + 20m) = -6n + -14 Reorder the terms: 4 + 20m + -8n = -6n + -14 Reorder the terms: 4 + 20m + -8n = -14 + -6n Solving 4 + 20m + -8n = -14 + -6n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 20m + -4 + -8n = -14 + -4 + -6n Reorder the terms: 4 + -4 + 20m + -8n = -14 + -4 + -6n Combine like terms: 4 + -4 = 0 0 + 20m + -8n = -14 + -4 + -6n 20m + -8n = -14 + -4 + -6n Combine like terms: -14 + -4 = -18 20m + -8n = -18 + -6n Add '8n' to each side of the equation. 20m + -8n + 8n = -18 + -6n + 8n Combine like terms: -8n + 8n = 0 20m + 0 = -18 + -6n + 8n 20m = -18 + -6n + 8n Combine like terms: -6n + 8n = 2n 20m = -18 + 2n Divide each side by '20'. m = -0.9 + 0.1n Simplifying m = -0.9 + 0.1n
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