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Simplifying 3(n + 7) = 6 + -3(n + -5) Reorder the terms: 3(7 + n) = 6 + -3(n + -5) (7 * 3 + n * 3) = 6 + -3(n + -5) (21 + 3n) = 6 + -3(n + -5) Reorder the terms: 21 + 3n = 6 + -3(-5 + n) 21 + 3n = 6 + (-5 * -3 + n * -3) 21 + 3n = 6 + (15 + -3n) Combine like terms: 6 + 15 = 21 21 + 3n = 21 + -3n Add '-21' to each side of the equation. 21 + -21 + 3n = 21 + -21 + -3n Combine like terms: 21 + -21 = 0 0 + 3n = 21 + -21 + -3n 3n = 21 + -21 + -3n Combine like terms: 21 + -21 = 0 3n = 0 + -3n 3n = -3n Solving 3n = -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. 3n + 3n = -3n + 3n Combine like terms: 3n + 3n = 6n 6n = -3n + 3n Combine like terms: -3n + 3n = 0 6n = 0 Divide each side by '6'. n = 0 Simplifying n = 0
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