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Simplifying 6(2n + 8) = 102 Reorder the terms: 6(8 + 2n) = 102 (8 * 6 + 2n * 6) = 102 (48 + 12n) = 102 Solving 48 + 12n = 102 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 12n = 102 + -48 Combine like terms: 48 + -48 = 0 0 + 12n = 102 + -48 12n = 102 + -48 Combine like terms: 102 + -48 = 54 12n = 54 Divide each side by '12'. n = 4.5 Simplifying n = 4.5
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