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Simplifying -1(-4 + -4n) + 8(n + -6) = 0 (-4 * -1 + -4n * -1) + 8(n + -6) = 0 (4 + 4n) + 8(n + -6) = 0 Reorder the terms: 4 + 4n + 8(-6 + n) = 0 4 + 4n + (-6 * 8 + n * 8) = 0 4 + 4n + (-48 + 8n) = 0 Reorder the terms: 4 + -48 + 4n + 8n = 0 Combine like terms: 4 + -48 = -44 -44 + 4n + 8n = 0 Combine like terms: 4n + 8n = 12n -44 + 12n = 0 Solving -44 + 12n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 12n = 0 + 44 Combine like terms: -44 + 44 = 0 0 + 12n = 0 + 44 12n = 0 + 44 Combine like terms: 0 + 44 = 44 12n = 44 Divide each side by '12'. n = 3.666666667 Simplifying n = 3.666666667
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