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Simplifying 14(v + 3) + -2v = 3(4v + 1) + -12 Reorder the terms: 14(3 + v) + -2v = 3(4v + 1) + -12 (3 * 14 + v * 14) + -2v = 3(4v + 1) + -12 (42 + 14v) + -2v = 3(4v + 1) + -12 Combine like terms: 14v + -2v = 12v 42 + 12v = 3(4v + 1) + -12 Reorder the terms: 42 + 12v = 3(1 + 4v) + -12 42 + 12v = (1 * 3 + 4v * 3) + -12 42 + 12v = (3 + 12v) + -12 Reorder the terms: 42 + 12v = 3 + -12 + 12v Combine like terms: 3 + -12 = -9 42 + 12v = -9 + 12v Add '-12v' to each side of the equation. 42 + 12v + -12v = -9 + 12v + -12v Combine like terms: 12v + -12v = 0 42 + 0 = -9 + 12v + -12v 42 = -9 + 12v + -12v Combine like terms: 12v + -12v = 0 42 = -9 + 0 42 = -9 Solving 42 = -9 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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