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Simplifying 7(1 + -7n) + 8n = 40 + -8n (1 * 7 + -7n * 7) + 8n = 40 + -8n (7 + -49n) + 8n = 40 + -8n Combine like terms: -49n + 8n = -41n 7 + -41n = 40 + -8n Solving 7 + -41n = 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. 7 + -41n + 8n = 40 + -8n + 8n Combine like terms: -41n + 8n = -33n 7 + -33n = 40 + -8n + 8n Combine like terms: -8n + 8n = 0 7 + -33n = 40 + 0 7 + -33n = 40 Add '-7' to each side of the equation. 7 + -7 + -33n = 40 + -7 Combine like terms: 7 + -7 = 0 0 + -33n = 40 + -7 -33n = 40 + -7 Combine like terms: 40 + -7 = 33 -33n = 33 Divide each side by '-33'. n = -1 Simplifying n = -1
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