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Simplifying 4(n + 2) + 8(n + -5) = 0 Reorder the terms: 4(2 + n) + 8(n + -5) = 0 (2 * 4 + n * 4) + 8(n + -5) = 0 (8 + 4n) + 8(n + -5) = 0 Reorder the terms: 8 + 4n + 8(-5 + n) = 0 8 + 4n + (-5 * 8 + n * 8) = 0 8 + 4n + (-40 + 8n) = 0 Reorder the terms: 8 + -40 + 4n + 8n = 0 Combine like terms: 8 + -40 = -32 -32 + 4n + 8n = 0 Combine like terms: 4n + 8n = 12n -32 + 12n = 0 Solving -32 + 12n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 12n = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 12n = 0 + 32 12n = 0 + 32 Combine like terms: 0 + 32 = 32 12n = 32 Divide each side by '12'. n = 2.666666667 Simplifying n = 2.666666667
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