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Simplifying 3n + 2(n + 2) = 9n + 12 Reorder the terms: 3n + 2(2 + n) = 9n + 12 3n + (2 * 2 + n * 2) = 9n + 12 3n + (4 + 2n) = 9n + 12 Reorder the terms: 4 + 3n + 2n = 9n + 12 Combine like terms: 3n + 2n = 5n 4 + 5n = 9n + 12 Reorder the terms: 4 + 5n = 12 + 9n Solving 4 + 5n = 12 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 4 + 5n + -9n = 12 + 9n + -9n Combine like terms: 5n + -9n = -4n 4 + -4n = 12 + 9n + -9n Combine like terms: 9n + -9n = 0 4 + -4n = 12 + 0 4 + -4n = 12 Add '-4' to each side of the equation. 4 + -4 + -4n = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -4n = 12 + -4 -4n = 12 + -4 Combine like terms: 12 + -4 = 8 -4n = 8 Divide each side by '-4'. n = -2 Simplifying n = -2
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