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Simplifying 102 = 3(6 + 4n) 102 = (6 * 3 + 4n * 3) 102 = (18 + 12n) Solving 102 = 18 + 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. 102 + -12n = 18 + 12n + -12n Combine like terms: 12n + -12n = 0 102 + -12n = 18 + 0 102 + -12n = 18 Add '-102' to each side of the equation. 102 + -102 + -12n = 18 + -102 Combine like terms: 102 + -102 = 0 0 + -12n = 18 + -102 -12n = 18 + -102 Combine like terms: 18 + -102 = -84 -12n = -84 Divide each side by '-12'. n = 7 Simplifying n = 7
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