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Simplifying 12 + 2(1 + n) = -3n + 30 12 + (1 * 2 + n * 2) = -3n + 30 12 + (2 + 2n) = -3n + 30 Combine like terms: 12 + 2 = 14 14 + 2n = -3n + 30 Reorder the terms: 14 + 2n = 30 + -3n Solving 14 + 2n = 30 + -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. 14 + 2n + 3n = 30 + -3n + 3n Combine like terms: 2n + 3n = 5n 14 + 5n = 30 + -3n + 3n Combine like terms: -3n + 3n = 0 14 + 5n = 30 + 0 14 + 5n = 30 Add '-14' to each side of the equation. 14 + -14 + 5n = 30 + -14 Combine like terms: 14 + -14 = 0 0 + 5n = 30 + -14 5n = 30 + -14 Combine like terms: 30 + -14 = 16 5n = 16 Divide each side by '5'. n = 3.2 Simplifying n = 3.2
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