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Simplifying 7(n + 3) = 8(n + 1) Reorder the terms: 7(3 + n) = 8(n + 1) (3 * 7 + n * 7) = 8(n + 1) (21 + 7n) = 8(n + 1) Reorder the terms: 21 + 7n = 8(1 + n) 21 + 7n = (1 * 8 + n * 8) 21 + 7n = (8 + 8n) Solving 21 + 7n = 8 + 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. 21 + 7n + -8n = 8 + 8n + -8n Combine like terms: 7n + -8n = -1n 21 + -1n = 8 + 8n + -8n Combine like terms: 8n + -8n = 0 21 + -1n = 8 + 0 21 + -1n = 8 Add '-21' to each side of the equation. 21 + -21 + -1n = 8 + -21 Combine like terms: 21 + -21 = 0 0 + -1n = 8 + -21 -1n = 8 + -21 Combine like terms: 8 + -21 = -13 -1n = -13 Divide each side by '-1'. n = 13 Simplifying n = 13
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