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Simplifying -8(n + -2) + 4(n + 1) = 0 Reorder the terms: -8(-2 + n) + 4(n + 1) = 0 (-2 * -8 + n * -8) + 4(n + 1) = 0 (16 + -8n) + 4(n + 1) = 0 Reorder the terms: 16 + -8n + 4(1 + n) = 0 16 + -8n + (1 * 4 + n * 4) = 0 16 + -8n + (4 + 4n) = 0 Reorder the terms: 16 + 4 + -8n + 4n = 0 Combine like terms: 16 + 4 = 20 20 + -8n + 4n = 0 Combine like terms: -8n + 4n = -4n 20 + -4n = 0 Solving 20 + -4n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -4n = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -4n = 0 + -20 -4n = 0 + -20 Combine like terms: 0 + -20 = -20 -4n = -20 Divide each side by '-4'. n = 5 Simplifying n = 5
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