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Simplifying 8n + 40 = 7(n + 6) Reorder the terms: 40 + 8n = 7(n + 6) Reorder the terms: 40 + 8n = 7(6 + n) 40 + 8n = (6 * 7 + n * 7) 40 + 8n = (42 + 7n) Solving 40 + 8n = 42 + 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. 40 + 8n + -7n = 42 + 7n + -7n Combine like terms: 8n + -7n = 1n 40 + 1n = 42 + 7n + -7n Combine like terms: 7n + -7n = 0 40 + 1n = 42 + 0 40 + 1n = 42 Add '-40' to each side of the equation. 40 + -40 + 1n = 42 + -40 Combine like terms: 40 + -40 = 0 0 + 1n = 42 + -40 1n = 42 + -40 Combine like terms: 42 + -40 = 2 1n = 2 Divide each side by '1'. n = 2 Simplifying n = 2
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