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Simplifying 3(n + 4) = 2(n + 9) Reorder the terms: 3(4 + n) = 2(n + 9) (4 * 3 + n * 3) = 2(n + 9) (12 + 3n) = 2(n + 9) Reorder the terms: 12 + 3n = 2(9 + n) 12 + 3n = (9 * 2 + n * 2) 12 + 3n = (18 + 2n) Solving 12 + 3n = 18 + 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. 12 + 3n + -2n = 18 + 2n + -2n Combine like terms: 3n + -2n = 1n 12 + 1n = 18 + 2n + -2n Combine like terms: 2n + -2n = 0 12 + 1n = 18 + 0 12 + 1n = 18 Add '-12' to each side of the equation. 12 + -12 + 1n = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 1n = 18 + -12 1n = 18 + -12 Combine like terms: 18 + -12 = 6 1n = 6 Divide each side by '1'. n = 6 Simplifying n = 6
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