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Simplifying -6(8 + -2n) + -8(1n + -5) = 8 (8 * -6 + -2n * -6) + -8(1n + -5) = 8 (-48 + 12n) + -8(1n + -5) = 8 Reorder the terms: -48 + 12n + -8(-5 + 1n) = 8 -48 + 12n + (-5 * -8 + 1n * -8) = 8 -48 + 12n + (40 + -8n) = 8 Reorder the terms: -48 + 40 + 12n + -8n = 8 Combine like terms: -48 + 40 = -8 -8 + 12n + -8n = 8 Combine like terms: 12n + -8n = 4n -8 + 4n = 8 Solving -8 + 4n = 8 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 4n = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 4n = 8 + 8 4n = 8 + 8 Combine like terms: 8 + 8 = 16 4n = 16 Divide each side by '4'. n = 4 Simplifying n = 4
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