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Simplifying 2n + 2 = 24 + -4(n + 2) Reorder the terms: 2 + 2n = 24 + -4(n + 2) Reorder the terms: 2 + 2n = 24 + -4(2 + n) 2 + 2n = 24 + (2 * -4 + n * -4) 2 + 2n = 24 + (-8 + -4n) Combine like terms: 24 + -8 = 16 2 + 2n = 16 + -4n Solving 2 + 2n = 16 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 2 + 2n + 4n = 16 + -4n + 4n Combine like terms: 2n + 4n = 6n 2 + 6n = 16 + -4n + 4n Combine like terms: -4n + 4n = 0 2 + 6n = 16 + 0 2 + 6n = 16 Add '-2' to each side of the equation. 2 + -2 + 6n = 16 + -2 Combine like terms: 2 + -2 = 0 0 + 6n = 16 + -2 6n = 16 + -2 Combine like terms: 16 + -2 = 14 6n = 14 Divide each side by '6'. n = 2.333333333 Simplifying n = 2.333333333
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