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Simplifying 6(n + 3) = 2n + 8 Reorder the terms: 6(3 + n) = 2n + 8 (3 * 6 + n * 6) = 2n + 8 (18 + 6n) = 2n + 8 Reorder the terms: 18 + 6n = 8 + 2n Solving 18 + 6n = 8 + 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. 18 + 6n + -2n = 8 + 2n + -2n Combine like terms: 6n + -2n = 4n 18 + 4n = 8 + 2n + -2n Combine like terms: 2n + -2n = 0 18 + 4n = 8 + 0 18 + 4n = 8 Add '-18' to each side of the equation. 18 + -18 + 4n = 8 + -18 Combine like terms: 18 + -18 = 0 0 + 4n = 8 + -18 4n = 8 + -18 Combine like terms: 8 + -18 = -10 4n = -10 Divide each side by '4'. n = -2.5 Simplifying n = -2.5
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