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Simplifying 4(5n + 3) + -6n = 7(2n + 3) Reorder the terms: 4(3 + 5n) + -6n = 7(2n + 3) (3 * 4 + 5n * 4) + -6n = 7(2n + 3) (12 + 20n) + -6n = 7(2n + 3) Combine like terms: 20n + -6n = 14n 12 + 14n = 7(2n + 3) Reorder the terms: 12 + 14n = 7(3 + 2n) 12 + 14n = (3 * 7 + 2n * 7) 12 + 14n = (21 + 14n) Add '-14n' to each side of the equation. 12 + 14n + -14n = 21 + 14n + -14n Combine like terms: 14n + -14n = 0 12 + 0 = 21 + 14n + -14n 12 = 21 + 14n + -14n Combine like terms: 14n + -14n = 0 12 = 21 + 0 12 = 21 Solving 12 = 21 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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