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Simplifying 3(n + 7) = 3 + -3(n + -2) Reorder the terms: 3(7 + n) = 3 + -3(n + -2) (7 * 3 + n * 3) = 3 + -3(n + -2) (21 + 3n) = 3 + -3(n + -2) Reorder the terms: 21 + 3n = 3 + -3(-2 + n) 21 + 3n = 3 + (-2 * -3 + n * -3) 21 + 3n = 3 + (6 + -3n) Combine like terms: 3 + 6 = 9 21 + 3n = 9 + -3n Solving 21 + 3n = 9 + -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. 21 + 3n + 3n = 9 + -3n + 3n Combine like terms: 3n + 3n = 6n 21 + 6n = 9 + -3n + 3n Combine like terms: -3n + 3n = 0 21 + 6n = 9 + 0 21 + 6n = 9 Add '-21' to each side of the equation. 21 + -21 + 6n = 9 + -21 Combine like terms: 21 + -21 = 0 0 + 6n = 9 + -21 6n = 9 + -21 Combine like terms: 9 + -21 = -12 6n = -12 Divide each side by '6'. n = -2 Simplifying n = -2
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