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Simplifying 4(1 + 3n) = 100 (1 * 4 + 3n * 4) = 100 (4 + 12n) = 100 Solving 4 + 12n = 100 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 = 100 + -4 Combine like terms: 4 + -4 = 0 0 + 12n = 100 + -4 12n = 100 + -4 Combine like terms: 100 + -4 = 96 12n = 96 Divide each side by '12'. n = 8 Simplifying n = 8
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