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Simplifying 6n + 8 = 2(n + 18) Reorder the terms: 8 + 6n = 2(n + 18) Reorder the terms: 8 + 6n = 2(18 + n) 8 + 6n = (18 * 2 + n * 2) 8 + 6n = (36 + 2n) Solving 8 + 6n = 36 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 8 + 6n + -2n = 36 + 2n + -2n Combine like terms: 6n + -2n = 4n 8 + 4n = 36 + 2n + -2n Combine like terms: 2n + -2n = 0 8 + 4n = 36 + 0 8 + 4n = 36 Add '-8' to each side of the equation. 8 + -8 + 4n = 36 + -8 Combine like terms: 8 + -8 = 0 0 + 4n = 36 + -8 4n = 36 + -8 Combine like terms: 36 + -8 = 28 4n = 28 Divide each side by '4'. n = 7 Simplifying n = 7
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