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Simplifying 4(1 + 3n) + -8 = 92 (1 * 4 + 3n * 4) + -8 = 92 (4 + 12n) + -8 = 92 Reorder the terms: 4 + -8 + 12n = 92 Combine like terms: 4 + -8 = -4 -4 + 12n = 92 Solving -4 + 12n = 92 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 + 12n = 92 + 4 Combine like terms: -4 + 4 = 0 0 + 12n = 92 + 4 12n = 92 + 4 Combine like terms: 92 + 4 = 96 12n = 96 Divide each side by '12'. n = 8 Simplifying n = 8
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