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Simplifying 4(n + 5) = 2(6 + 2n) Reorder the terms: 4(5 + n) = 2(6 + 2n) (5 * 4 + n * 4) = 2(6 + 2n) (20 + 4n) = 2(6 + 2n) 20 + 4n = (6 * 2 + 2n * 2) 20 + 4n = (12 + 4n) Add '-4n' to each side of the equation. 20 + 4n + -4n = 12 + 4n + -4n Combine like terms: 4n + -4n = 0 20 + 0 = 12 + 4n + -4n 20 = 12 + 4n + -4n Combine like terms: 4n + -4n = 0 20 = 12 + 0 20 = 12 Solving 20 = 12 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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