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Simplifying 4(1 + -3n) + -8(1 + n) = 76 (1 * 4 + -3n * 4) + -8(1 + n) = 76 (4 + -12n) + -8(1 + n) = 76 4 + -12n + (1 * -8 + n * -8) = 76 4 + -12n + (-8 + -8n) = 76 Reorder the terms: 4 + -8 + -12n + -8n = 76 Combine like terms: 4 + -8 = -4 -4 + -12n + -8n = 76 Combine like terms: -12n + -8n = -20n -4 + -20n = 76 Solving -4 + -20n = 76 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -20n = 76 + 4 Combine like terms: -4 + 4 = 0 0 + -20n = 76 + 4 -20n = 76 + 4 Combine like terms: 76 + 4 = 80 -20n = 80 Divide each side by '-20'. n = -4 Simplifying n = -4
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