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Simplifying n + (n + 2) = 24 + -4(n + 4) Reorder the terms: n + (2 + n) = 24 + -4(n + 4) Remove parenthesis around (2 + n) n + 2 + n = 24 + -4(n + 4) Reorder the terms: 2 + n + n = 24 + -4(n + 4) Combine like terms: n + n = 2n 2 + 2n = 24 + -4(n + 4) Reorder the terms: 2 + 2n = 24 + -4(4 + n) 2 + 2n = 24 + (4 * -4 + n * -4) 2 + 2n = 24 + (-16 + -4n) Combine like terms: 24 + -16 = 8 2 + 2n = 8 + -4n Solving 2 + 2n = 8 + -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 = 8 + -4n + 4n Combine like terms: 2n + 4n = 6n 2 + 6n = 8 + -4n + 4n Combine like terms: -4n + 4n = 0 2 + 6n = 8 + 0 2 + 6n = 8 Add '-2' to each side of the equation. 2 + -2 + 6n = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 6n = 8 + -2 6n = 8 + -2 Combine like terms: 8 + -2 = 6 6n = 6 Divide each side by '6'. n = 1 Simplifying n = 1
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