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Simplifying 8(1 + n) = 3(11 + 11n) (1 * 8 + n * 8) = 3(11 + 11n) (8 + 8n) = 3(11 + 11n) 8 + 8n = (11 * 3 + 11n * 3) 8 + 8n = (33 + 33n) Solving 8 + 8n = 33 + 33n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-33n' to each side of the equation. 8 + 8n + -33n = 33 + 33n + -33n Combine like terms: 8n + -33n = -25n 8 + -25n = 33 + 33n + -33n Combine like terms: 33n + -33n = 0 8 + -25n = 33 + 0 8 + -25n = 33 Add '-8' to each side of the equation. 8 + -8 + -25n = 33 + -8 Combine like terms: 8 + -8 = 0 0 + -25n = 33 + -8 -25n = 33 + -8 Combine like terms: 33 + -8 = 25 -25n = 25 Divide each side by '-25'. n = -1 Simplifying n = -1
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