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Simplifying 2(n + 4) = 96 + 2(2n + 2n) Reorder the terms: 2(4 + n) = 96 + 2(2n + 2n) (4 * 2 + n * 2) = 96 + 2(2n + 2n) (8 + 2n) = 96 + 2(2n + 2n) Combine like terms: 2n + 2n = 4n 8 + 2n = 96 + 2(4n) Remove parenthesis around (4n) 8 + 2n = 96 + 2 * 4n Multiply 2 * 4 8 + 2n = 96 + 8n Solving 8 + 2n = 96 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 8 + 2n + -8n = 96 + 8n + -8n Combine like terms: 2n + -8n = -6n 8 + -6n = 96 + 8n + -8n Combine like terms: 8n + -8n = 0 8 + -6n = 96 + 0 8 + -6n = 96 Add '-8' to each side of the equation. 8 + -8 + -6n = 96 + -8 Combine like terms: 8 + -8 = 0 0 + -6n = 96 + -8 -6n = 96 + -8 Combine like terms: 96 + -8 = 88 -6n = 88 Divide each side by '-6'. n = -14.66666667 Simplifying n = -14.66666667
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