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Simplifying 14(v + 3) + -2v = 4(3v + 3) + -18 Reorder the terms: 14(3 + v) + -2v = 4(3v + 3) + -18 (3 * 14 + v * 14) + -2v = 4(3v + 3) + -18 (42 + 14v) + -2v = 4(3v + 3) + -18 Combine like terms: 14v + -2v = 12v 42 + 12v = 4(3v + 3) + -18 Reorder the terms: 42 + 12v = 4(3 + 3v) + -18 42 + 12v = (3 * 4 + 3v * 4) + -18 42 + 12v = (12 + 12v) + -18 Reorder the terms: 42 + 12v = 12 + -18 + 12v Combine like terms: 12 + -18 = -6 42 + 12v = -6 + 12v Add '-12v' to each side of the equation. 42 + 12v + -12v = -6 + 12v + -12v Combine like terms: 12v + -12v = 0 42 + 0 = -6 + 12v + -12v 42 = -6 + 12v + -12v Combine like terms: 12v + -12v = 0 42 = -6 + 0 42 = -6 Solving 42 = -6 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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