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Simplifying 5(6 + 4n) = 11(3n + 11) (6 * 5 + 4n * 5) = 11(3n + 11) (30 + 20n) = 11(3n + 11) Reorder the terms: 30 + 20n = 11(11 + 3n) 30 + 20n = (11 * 11 + 3n * 11) 30 + 20n = (121 + 33n) Solving 30 + 20n = 121 + 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. 30 + 20n + -33n = 121 + 33n + -33n Combine like terms: 20n + -33n = -13n 30 + -13n = 121 + 33n + -33n Combine like terms: 33n + -33n = 0 30 + -13n = 121 + 0 30 + -13n = 121 Add '-30' to each side of the equation. 30 + -30 + -13n = 121 + -30 Combine like terms: 30 + -30 = 0 0 + -13n = 121 + -30 -13n = 121 + -30 Combine like terms: 121 + -30 = 91 -13n = 91 Divide each side by '-13'. n = -7 Simplifying n = -7
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