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Simplifying 2(n + 2) + 8(n + -5) = 0 Reorder the terms: 2(2 + n) + 8(n + -5) = 0 (2 * 2 + n * 2) + 8(n + -5) = 0 (4 + 2n) + 8(n + -5) = 0 Reorder the terms: 4 + 2n + 8(-5 + n) = 0 4 + 2n + (-5 * 8 + n * 8) = 0 4 + 2n + (-40 + 8n) = 0 Reorder the terms: 4 + -40 + 2n + 8n = 0 Combine like terms: 4 + -40 = -36 -36 + 2n + 8n = 0 Combine like terms: 2n + 8n = 10n -36 + 10n = 0 Solving -36 + 10n = 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 + 10n = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 10n = 0 + 36 10n = 0 + 36 Combine like terms: 0 + 36 = 36 10n = 36 Divide each side by '10'. n = 3.6 Simplifying n = 3.6
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