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Simplifying 8(1 + n) = 15 + n (1 * 8 + n * 8) = 15 + n (8 + 8n) = 15 + n Solving 8 + 8n = 15 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 8 + 8n + -1n = 15 + n + -1n Combine like terms: 8n + -1n = 7n 8 + 7n = 15 + n + -1n Combine like terms: n + -1n = 0 8 + 7n = 15 + 0 8 + 7n = 15 Add '-8' to each side of the equation. 8 + -8 + 7n = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 7n = 15 + -8 7n = 15 + -8 Combine like terms: 15 + -8 = 7 7n = 7 Divide each side by '7'. n = 1 Simplifying n = 1
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