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Simplifying (4 + 7n) + (4 + 7n) + -4 + (4 + 7n) * 2 = 180 Remove parenthesis around (4 + 7n) 4 + 7n + (4 + 7n) + -4 + (4 + 7n) * 2 = 180 Remove parenthesis around (4 + 7n) 4 + 7n + 4 + 7n + -4 + (4 + 7n) * 2 = 180 Reorder the terms for easier multiplication: 4 + 7n + 4 + 7n + -4 + 2(4 + 7n) = 180 4 + 7n + 4 + 7n + -4 + (4 * 2 + 7n * 2) = 180 4 + 7n + 4 + 7n + -4 + (8 + 14n) = 180 Reorder the terms: 4 + 4 + -4 + 8 + 7n + 7n + 14n = 180 Combine like terms: 4 + 4 = 8 8 + -4 + 8 + 7n + 7n + 14n = 180 Combine like terms: 8 + -4 = 4 4 + 8 + 7n + 7n + 14n = 180 Combine like terms: 4 + 8 = 12 12 + 7n + 7n + 14n = 180 Combine like terms: 7n + 7n = 14n 12 + 14n + 14n = 180 Combine like terms: 14n + 14n = 28n 12 + 28n = 180 Solving 12 + 28n = 180 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 28n = 180 + -12 Combine like terms: 12 + -12 = 0 0 + 28n = 180 + -12 28n = 180 + -12 Combine like terms: 180 + -12 = 168 28n = 168 Divide each side by '28'. n = 6 Simplifying n = 6
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