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Simplifying 3(n + 5) = 2(n + 4) + 2 Reorder the terms: 3(5 + n) = 2(n + 4) + 2 (5 * 3 + n * 3) = 2(n + 4) + 2 (15 + 3n) = 2(n + 4) + 2 Reorder the terms: 15 + 3n = 2(4 + n) + 2 15 + 3n = (4 * 2 + n * 2) + 2 15 + 3n = (8 + 2n) + 2 Reorder the terms: 15 + 3n = 8 + 2 + 2n Combine like terms: 8 + 2 = 10 15 + 3n = 10 + 2n Solving 15 + 3n = 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. 15 + 3n + -2n = 10 + 2n + -2n Combine like terms: 3n + -2n = 1n 15 + 1n = 10 + 2n + -2n Combine like terms: 2n + -2n = 0 15 + 1n = 10 + 0 15 + 1n = 10 Add '-15' to each side of the equation. 15 + -15 + 1n = 10 + -15 Combine like terms: 15 + -15 = 0 0 + 1n = 10 + -15 1n = 10 + -15 Combine like terms: 10 + -15 = -5 1n = -5 Divide each side by '1'. n = -5 Simplifying n = -5
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