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Simplifying 7(2n + -2) = (8n + 4) + 5 Reorder the terms: 7(-2 + 2n) = (8n + 4) + 5 (-2 * 7 + 2n * 7) = (8n + 4) + 5 (-14 + 14n) = (8n + 4) + 5 Reorder the terms: -14 + 14n = (4 + 8n) + 5 Remove parenthesis around (4 + 8n) -14 + 14n = 4 + 8n + 5 Reorder the terms: -14 + 14n = 4 + 5 + 8n Combine like terms: 4 + 5 = 9 -14 + 14n = 9 + 8n Solving -14 + 14n = 9 + 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. -14 + 14n + -8n = 9 + 8n + -8n Combine like terms: 14n + -8n = 6n -14 + 6n = 9 + 8n + -8n Combine like terms: 8n + -8n = 0 -14 + 6n = 9 + 0 -14 + 6n = 9 Add '14' to each side of the equation. -14 + 14 + 6n = 9 + 14 Combine like terms: -14 + 14 = 0 0 + 6n = 9 + 14 6n = 9 + 14 Combine like terms: 9 + 14 = 23 6n = 23 Divide each side by '6'. n = 3.833333333 Simplifying n = 3.833333333
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