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Simplifying 14(v + 4) + -2v = 4(3v + 4) + -21 Reorder the terms: 14(4 + v) + -2v = 4(3v + 4) + -21 (4 * 14 + v * 14) + -2v = 4(3v + 4) + -21 (56 + 14v) + -2v = 4(3v + 4) + -21 Combine like terms: 14v + -2v = 12v 56 + 12v = 4(3v + 4) + -21 Reorder the terms: 56 + 12v = 4(4 + 3v) + -21 56 + 12v = (4 * 4 + 3v * 4) + -21 56 + 12v = (16 + 12v) + -21 Reorder the terms: 56 + 12v = 16 + -21 + 12v Combine like terms: 16 + -21 = -5 56 + 12v = -5 + 12v Add '-12v' to each side of the equation. 56 + 12v + -12v = -5 + 12v + -12v Combine like terms: 12v + -12v = 0 56 + 0 = -5 + 12v + -12v 56 = -5 + 12v + -12v Combine like terms: 12v + -12v = 0 56 = -5 + 0 56 = -5 Solving 56 = -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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