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Simplifying 69 = 3n + 6(5n + 6) Reorder the terms: 69 = 3n + 6(6 + 5n) 69 = 3n + (6 * 6 + 5n * 6) 69 = 3n + (36 + 30n) Reorder the terms: 69 = 36 + 3n + 30n Combine like terms: 3n + 30n = 33n 69 = 36 + 33n Solving 69 = 36 + 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. 69 + -33n = 36 + 33n + -33n Combine like terms: 33n + -33n = 0 69 + -33n = 36 + 0 69 + -33n = 36 Add '-69' to each side of the equation. 69 + -69 + -33n = 36 + -69 Combine like terms: 69 + -69 = 0 0 + -33n = 36 + -69 -33n = 36 + -69 Combine like terms: 36 + -69 = -33 -33n = -33 Divide each side by '-33'. n = 1 Simplifying n = 1
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