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Simplifying 102 = 6(2n + 5) Reorder the terms: 102 = 6(5 + 2n) 102 = (5 * 6 + 2n * 6) 102 = (30 + 12n) Solving 102 = 30 + 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 = 30 + 12n + -12n Combine like terms: 12n + -12n = 0 102 + -12n = 30 + 0 102 + -12n = 30 Add '-102' to each side of the equation. 102 + -102 + -12n = 30 + -102 Combine like terms: 102 + -102 = 0 0 + -12n = 30 + -102 -12n = 30 + -102 Combine like terms: 30 + -102 = -72 -12n = -72 Divide each side by '-12'. n = 6 Simplifying n = 6
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