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Simplifying 40 + 8n = 6(2n + 8) + -5n Reorder the terms: 40 + 8n = 6(8 + 2n) + -5n 40 + 8n = (8 * 6 + 2n * 6) + -5n 40 + 8n = (48 + 12n) + -5n Combine like terms: 12n + -5n = 7n 40 + 8n = 48 + 7n Solving 40 + 8n = 48 + 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 = 48 + 7n + -7n Combine like terms: 8n + -7n = 1n 40 + 1n = 48 + 7n + -7n Combine like terms: 7n + -7n = 0 40 + 1n = 48 + 0 40 + 1n = 48 Add '-40' to each side of the equation. 40 + -40 + 1n = 48 + -40 Combine like terms: 40 + -40 = 0 0 + 1n = 48 + -40 1n = 48 + -40 Combine like terms: 48 + -40 = 8 1n = 8 Divide each side by '1'. n = 8 Simplifying n = 8
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