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