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Simplifying -8(n + -3) + 4(n + 1) = 0 Reorder the terms: -8(-3 + n) + 4(n + 1) = 0 (-3 * -8 + n * -8) + 4(n + 1) = 0 (24 + -8n) + 4(n + 1) = 0 Reorder the terms: 24 + -8n + 4(1 + n) = 0 24 + -8n + (1 * 4 + n * 4) = 0 24 + -8n + (4 + 4n) = 0 Reorder the terms: 24 + 4 + -8n + 4n = 0 Combine like terms: 24 + 4 = 28 28 + -8n + 4n = 0 Combine like terms: -8n + 4n = -4n 28 + -4n = 0 Solving 28 + -4n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -4n = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -4n = 0 + -28 -4n = 0 + -28 Combine like terms: 0 + -28 = -28 -4n = -28 Divide each side by '-4'. n = 7 Simplifying n = 7
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