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Simplifying 5(2 + n) = 3n + 6 (2 * 5 + n * 5) = 3n + 6 (10 + 5n) = 3n + 6 Reorder the terms: 10 + 5n = 6 + 3n Solving 10 + 5n = 6 + 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 + 5n + -3n = 6 + 3n + -3n Combine like terms: 5n + -3n = 2n 10 + 2n = 6 + 3n + -3n Combine like terms: 3n + -3n = 0 10 + 2n = 6 + 0 10 + 2n = 6 Add '-10' to each side of the equation. 10 + -10 + 2n = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 2n = 6 + -10 2n = 6 + -10 Combine like terms: 6 + -10 = -4 2n = -4 Divide each side by '2'. n = -2 Simplifying n = -2
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