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Simplifying 14(v + 3) + -2v = 4(3v + 4) + -17 Reorder the terms: 14(3 + v) + -2v = 4(3v + 4) + -17 (3 * 14 + v * 14) + -2v = 4(3v + 4) + -17 (42 + 14v) + -2v = 4(3v + 4) + -17 Combine like terms: 14v + -2v = 12v 42 + 12v = 4(3v + 4) + -17 Reorder the terms: 42 + 12v = 4(4 + 3v) + -17 42 + 12v = (4 * 4 + 3v * 4) + -17 42 + 12v = (16 + 12v) + -17 Reorder the terms: 42 + 12v = 16 + -17 + 12v Combine like terms: 16 + -17 = -1 42 + 12v = -1 + 12v Add '-12v' to each side of the equation. 42 + 12v + -12v = -1 + 12v + -12v Combine like terms: 12v + -12v = 0 42 + 0 = -1 + 12v + -12v 42 = -1 + 12v + -12v Combine like terms: 12v + -12v = 0 42 = -1 + 0 42 = -1 Solving 42 = -1 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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