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Simplifying 6(4n + 6) = 4n + 16 Reorder the terms: 6(6 + 4n) = 4n + 16 (6 * 6 + 4n * 6) = 4n + 16 (36 + 24n) = 4n + 16 Reorder the terms: 36 + 24n = 16 + 4n Solving 36 + 24n = 16 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 36 + 24n + -4n = 16 + 4n + -4n Combine like terms: 24n + -4n = 20n 36 + 20n = 16 + 4n + -4n Combine like terms: 4n + -4n = 0 36 + 20n = 16 + 0 36 + 20n = 16 Add '-36' to each side of the equation. 36 + -36 + 20n = 16 + -36 Combine like terms: 36 + -36 = 0 0 + 20n = 16 + -36 20n = 16 + -36 Combine like terms: 16 + -36 = -20 20n = -20 Divide each side by '20'. n = -1 Simplifying n = -1
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