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Simplifying 2(3n + 5) = 3n + -2 Reorder the terms: 2(5 + 3n) = 3n + -2 (5 * 2 + 3n * 2) = 3n + -2 (10 + 6n) = 3n + -2 Reorder the terms: 10 + 6n = -2 + 3n Solving 10 + 6n = -2 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 10 + 6n + -3n = -2 + 3n + -3n Combine like terms: 6n + -3n = 3n 10 + 3n = -2 + 3n + -3n Combine like terms: 3n + -3n = 0 10 + 3n = -2 + 0 10 + 3n = -2 Add '-10' to each side of the equation. 10 + -10 + 3n = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 3n = -2 + -10 3n = -2 + -10 Combine like terms: -2 + -10 = -12 3n = -12 Divide each side by '3'. n = -4 Simplifying n = -4
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