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Simplifying 7(5n + 2) = -40 + 8n Reorder the terms: 7(2 + 5n) = -40 + 8n (2 * 7 + 5n * 7) = -40 + 8n (14 + 35n) = -40 + 8n Solving 14 + 35n = -40 + 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. 14 + 35n + -8n = -40 + 8n + -8n Combine like terms: 35n + -8n = 27n 14 + 27n = -40 + 8n + -8n Combine like terms: 8n + -8n = 0 14 + 27n = -40 + 0 14 + 27n = -40 Add '-14' to each side of the equation. 14 + -14 + 27n = -40 + -14 Combine like terms: 14 + -14 = 0 0 + 27n = -40 + -14 27n = -40 + -14 Combine like terms: -40 + -14 = -54 27n = -54 Divide each side by '27'. n = -2 Simplifying n = -2
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