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Simplifying 40 + 8n = 6(n + 7) Reorder the terms: 40 + 8n = 6(7 + n) 40 + 8n = (7 * 6 + n * 6) 40 + 8n = (42 + 6n) Solving 40 + 8n = 42 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 40 + 8n + -6n = 42 + 6n + -6n Combine like terms: 8n + -6n = 2n 40 + 2n = 42 + 6n + -6n Combine like terms: 6n + -6n = 0 40 + 2n = 42 + 0 40 + 2n = 42 Add '-40' to each side of the equation. 40 + -40 + 2n = 42 + -40 Combine like terms: 40 + -40 = 0 0 + 2n = 42 + -40 2n = 42 + -40 Combine like terms: 42 + -40 = 2 2n = 2 Divide each side by '2'. n = 1 Simplifying n = 1
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