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Simplifying 8 + 7(n + 1) = 7 + 8n Reorder the terms: 8 + 7(1 + n) = 7 + 8n 8 + (1 * 7 + n * 7) = 7 + 8n 8 + (7 + 7n) = 7 + 8n Combine like terms: 8 + 7 = 15 15 + 7n = 7 + 8n Solving 15 + 7n = 7 + 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. 15 + 7n + -8n = 7 + 8n + -8n Combine like terms: 7n + -8n = -1n 15 + -1n = 7 + 8n + -8n Combine like terms: 8n + -8n = 0 15 + -1n = 7 + 0 15 + -1n = 7 Add '-15' to each side of the equation. 15 + -15 + -1n = 7 + -15 Combine like terms: 15 + -15 = 0 0 + -1n = 7 + -15 -1n = 7 + -15 Combine like terms: 7 + -15 = -8 -1n = -8 Divide each side by '-1'. n = 8 Simplifying n = 8
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