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Simplifying -8(6 + -5m + n) = 0 (6 * -8 + -5m * -8 + n * -8) = 0 (-48 + 40m + -8n) = 0 Solving -48 + 40m + -8n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 40m + 48 + -8n = 0 + 48 Reorder the terms: -48 + 48 + 40m + -8n = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 40m + -8n = 0 + 48 40m + -8n = 0 + 48 Combine like terms: 0 + 48 = 48 40m + -8n = 48 Add '8n' to each side of the equation. 40m + -8n + 8n = 48 + 8n Combine like terms: -8n + 8n = 0 40m + 0 = 48 + 8n 40m = 48 + 8n Divide each side by '40'. m = 1.2 + 0.2n Simplifying m = 1.2 + 0.2n
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