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Simplifying 4(n + 6) = 2(n + 9) + 7 Reorder the terms: 4(6 + n) = 2(n + 9) + 7 (6 * 4 + n * 4) = 2(n + 9) + 7 (24 + 4n) = 2(n + 9) + 7 Reorder the terms: 24 + 4n = 2(9 + n) + 7 24 + 4n = (9 * 2 + n * 2) + 7 24 + 4n = (18 + 2n) + 7 Reorder the terms: 24 + 4n = 18 + 7 + 2n Combine like terms: 18 + 7 = 25 24 + 4n = 25 + 2n Solving 24 + 4n = 25 + 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 + 4n + -2n = 25 + 2n + -2n Combine like terms: 4n + -2n = 2n 24 + 2n = 25 + 2n + -2n Combine like terms: 2n + -2n = 0 24 + 2n = 25 + 0 24 + 2n = 25 Add '-24' to each side of the equation. 24 + -24 + 2n = 25 + -24 Combine like terms: 24 + -24 = 0 0 + 2n = 25 + -24 2n = 25 + -24 Combine like terms: 25 + -24 = 1 2n = 1 Divide each side by '2'. n = 0.5 Simplifying n = 0.5
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