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Simplifying 100 = 2(6n + 2) Reorder the terms: 100 = 2(2 + 6n) 100 = (2 * 2 + 6n * 2) 100 = (4 + 12n) Solving 100 = 4 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 100 + -12n = 4 + 12n + -12n Combine like terms: 12n + -12n = 0 100 + -12n = 4 + 0 100 + -12n = 4 Add '-100' to each side of the equation. 100 + -100 + -12n = 4 + -100 Combine like terms: 100 + -100 = 0 0 + -12n = 4 + -100 -12n = 4 + -100 Combine like terms: 4 + -100 = -96 -12n = -96 Divide each side by '-12'. n = 8 Simplifying n = 8
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