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