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Simplifying 7(n + 1) = 8n + -7 Reorder the terms: 7(1 + n) = 8n + -7 (1 * 7 + n * 7) = 8n + -7 (7 + 7n) = 8n + -7 Reorder the terms: 7 + 7n = -7 + 8n Solving 7 + 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. 7 + 7n + -8n = -7 + 8n + -8n Combine like terms: 7n + -8n = -1n 7 + -1n = -7 + 8n + -8n Combine like terms: 8n + -8n = 0 7 + -1n = -7 + 0 7 + -1n = -7 Add '-7' to each side of the equation. 7 + -7 + -1n = -7 + -7 Combine like terms: 7 + -7 = 0 0 + -1n = -7 + -7 -1n = -7 + -7 Combine like terms: -7 + -7 = -14 -1n = -14 Divide each side by '-1'. n = 14 Simplifying n = 14
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