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Simplifying -8(n + -4) + 4(n + 1) = 0 Reorder the terms: -8(-4 + n) + 4(n + 1) = 0 (-4 * -8 + n * -8) + 4(n + 1) = 0 (32 + -8n) + 4(n + 1) = 0 Reorder the terms: 32 + -8n + 4(1 + n) = 0 32 + -8n + (1 * 4 + n * 4) = 0 32 + -8n + (4 + 4n) = 0 Reorder the terms: 32 + 4 + -8n + 4n = 0 Combine like terms: 32 + 4 = 36 36 + -8n + 4n = 0 Combine like terms: -8n + 4n = -4n 36 + -4n = 0 Solving 36 + -4n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -4n = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -4n = 0 + -36 -4n = 0 + -36 Combine like terms: 0 + -36 = -36 -4n = -36 Divide each side by '-4'. n = 9 Simplifying n = 9
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