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Simplifying 14(v + 1) + -2v = 4(3v + 2) + -13 Reorder the terms: 14(1 + v) + -2v = 4(3v + 2) + -13 (1 * 14 + v * 14) + -2v = 4(3v + 2) + -13 (14 + 14v) + -2v = 4(3v + 2) + -13 Combine like terms: 14v + -2v = 12v 14 + 12v = 4(3v + 2) + -13 Reorder the terms: 14 + 12v = 4(2 + 3v) + -13 14 + 12v = (2 * 4 + 3v * 4) + -13 14 + 12v = (8 + 12v) + -13 Reorder the terms: 14 + 12v = 8 + -13 + 12v Combine like terms: 8 + -13 = -5 14 + 12v = -5 + 12v Add '-12v' to each side of the equation. 14 + 12v + -12v = -5 + 12v + -12v Combine like terms: 12v + -12v = 0 14 + 0 = -5 + 12v + -12v 14 = -5 + 12v + -12v Combine like terms: 12v + -12v = 0 14 = -5 + 0 14 = -5 Solving 14 = -5 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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