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Simplifying 14(v + 1) + -2v = 4(3v + 4) + -19 Reorder the terms: 14(1 + v) + -2v = 4(3v + 4) + -19 (1 * 14 + v * 14) + -2v = 4(3v + 4) + -19 (14 + 14v) + -2v = 4(3v + 4) + -19 Combine like terms: 14v + -2v = 12v 14 + 12v = 4(3v + 4) + -19 Reorder the terms: 14 + 12v = 4(4 + 3v) + -19 14 + 12v = (4 * 4 + 3v * 4) + -19 14 + 12v = (16 + 12v) + -19 Reorder the terms: 14 + 12v = 16 + -19 + 12v Combine like terms: 16 + -19 = -3 14 + 12v = -3 + 12v Add '-12v' to each side of the equation. 14 + 12v + -12v = -3 + 12v + -12v Combine like terms: 12v + -12v = 0 14 + 0 = -3 + 12v + -12v 14 = -3 + 12v + -12v Combine like terms: 12v + -12v = 0 14 = -3 + 0 14 = -3 Solving 14 = -3 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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