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Simplifying 2(4n + 8) + 7n + -2n = 178 Reorder the terms: 2(8 + 4n) + 7n + -2n = 178 (8 * 2 + 4n * 2) + 7n + -2n = 178 (16 + 8n) + 7n + -2n = 178 Combine like terms: 8n + 7n = 15n 16 + 15n + -2n = 178 Combine like terms: 15n + -2n = 13n 16 + 13n = 178 Solving 16 + 13n = 178 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 13n = 178 + -16 Combine like terms: 16 + -16 = 0 0 + 13n = 178 + -16 13n = 178 + -16 Combine like terms: 178 + -16 = 162 13n = 162 Divide each side by '13'. n = 12.46153846 Simplifying n = 12.46153846
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