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Simplifying 8(m + -1n) + -3(2m + 3) = 0 (m * 8 + -1n * 8) + -3(2m + 3) = 0 (8m + -8n) + -3(2m + 3) = 0 Reorder the terms: 8m + -8n + -3(3 + 2m) = 0 8m + -8n + (3 * -3 + 2m * -3) = 0 8m + -8n + (-9 + -6m) = 0 Reorder the terms: -9 + 8m + -6m + -8n = 0 Combine like terms: 8m + -6m = 2m -9 + 2m + -8n = 0 Solving -9 + 2m + -8n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 2m + 9 + -8n = 0 + 9 Reorder the terms: -9 + 9 + 2m + -8n = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2m + -8n = 0 + 9 2m + -8n = 0 + 9 Combine like terms: 0 + 9 = 9 2m + -8n = 9 Add '8n' to each side of the equation. 2m + -8n + 8n = 9 + 8n Combine like terms: -8n + 8n = 0 2m + 0 = 9 + 8n 2m = 9 + 8n Divide each side by '2'. m = 4.5 + 4n Simplifying m = 4.5 + 4n
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