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Simplifying 7(1 + 4n) = -33 + 8n (1 * 7 + 4n * 7) = -33 + 8n (7 + 28n) = -33 + 8n Solving 7 + 28n = -33 + 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 + 28n + -8n = -33 + 8n + -8n Combine like terms: 28n + -8n = 20n 7 + 20n = -33 + 8n + -8n Combine like terms: 8n + -8n = 0 7 + 20n = -33 + 0 7 + 20n = -33 Add '-7' to each side of the equation. 7 + -7 + 20n = -33 + -7 Combine like terms: 7 + -7 = 0 0 + 20n = -33 + -7 20n = -33 + -7 Combine like terms: -33 + -7 = -40 20n = -40 Divide each side by '20'. n = -2 Simplifying n = -2
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