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Simplifying 6(n + 4) = 10 + 2n Reorder the terms: 6(4 + n) = 10 + 2n (4 * 6 + n * 6) = 10 + 2n (24 + 6n) = 10 + 2n Solving 24 + 6n = 10 + 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. 24 + 6n + -2n = 10 + 2n + -2n Combine like terms: 6n + -2n = 4n 24 + 4n = 10 + 2n + -2n Combine like terms: 2n + -2n = 0 24 + 4n = 10 + 0 24 + 4n = 10 Add '-24' to each side of the equation. 24 + -24 + 4n = 10 + -24 Combine like terms: 24 + -24 = 0 0 + 4n = 10 + -24 4n = 10 + -24 Combine like terms: 10 + -24 = -14 4n = -14 Divide each side by '4'. n = -3.5 Simplifying n = -3.5
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