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Simplifying 3(n + 9) + 4 = 2n Reorder the terms: 3(9 + n) + 4 = 2n (9 * 3 + n * 3) + 4 = 2n (27 + 3n) + 4 = 2n Reorder the terms: 27 + 4 + 3n = 2n Combine like terms: 27 + 4 = 31 31 + 3n = 2n Solving 31 + 3n = 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. 31 + 3n + -2n = 2n + -2n Combine like terms: 3n + -2n = 1n 31 + 1n = 2n + -2n Combine like terms: 2n + -2n = 0 31 + 1n = 0 Add '-31' to each side of the equation. 31 + -31 + 1n = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 1n = 0 + -31 1n = 0 + -31 Combine like terms: 0 + -31 = -31 1n = -31 Divide each side by '1'. n = -31 Simplifying n = -31
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