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Simplifying 8n + 21 = 7(n + 2) Reorder the terms: 21 + 8n = 7(n + 2) Reorder the terms: 21 + 8n = 7(2 + n) 21 + 8n = (2 * 7 + n * 7) 21 + 8n = (14 + 7n) Solving 21 + 8n = 14 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 21 + 8n + -7n = 14 + 7n + -7n Combine like terms: 8n + -7n = 1n 21 + 1n = 14 + 7n + -7n Combine like terms: 7n + -7n = 0 21 + 1n = 14 + 0 21 + 1n = 14 Add '-21' to each side of the equation. 21 + -21 + 1n = 14 + -21 Combine like terms: 21 + -21 = 0 0 + 1n = 14 + -21 1n = 14 + -21 Combine like terms: 14 + -21 = -7 1n = -7 Divide each side by '1'. n = -7 Simplifying n = -7
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