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Simplifying -8(7 + -4m + n) = 0 (7 * -8 + -4m * -8 + n * -8) = 0 (-56 + 32m + -8n) = 0 Solving -56 + 32m + -8n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 32m + 56 + -8n = 0 + 56 Reorder the terms: -56 + 56 + 32m + -8n = 0 + 56 Combine like terms: -56 + 56 = 0 0 + 32m + -8n = 0 + 56 32m + -8n = 0 + 56 Combine like terms: 0 + 56 = 56 32m + -8n = 56 Add '8n' to each side of the equation. 32m + -8n + 8n = 56 + 8n Combine like terms: -8n + 8n = 0 32m + 0 = 56 + 8n 32m = 56 + 8n Divide each side by '32'. m = 1.75 + 0.25n Simplifying m = 1.75 + 0.25n
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