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Simplifying 14(v + 1) + -2v = 3(4v + 3) + -15 Reorder the terms: 14(1 + v) + -2v = 3(4v + 3) + -15 (1 * 14 + v * 14) + -2v = 3(4v + 3) + -15 (14 + 14v) + -2v = 3(4v + 3) + -15 Combine like terms: 14v + -2v = 12v 14 + 12v = 3(4v + 3) + -15 Reorder the terms: 14 + 12v = 3(3 + 4v) + -15 14 + 12v = (3 * 3 + 4v * 3) + -15 14 + 12v = (9 + 12v) + -15 Reorder the terms: 14 + 12v = 9 + -15 + 12v Combine like terms: 9 + -15 = -6 14 + 12v = -6 + 12v Add '-12v' to each side of the equation. 14 + 12v + -12v = -6 + 12v + -12v Combine like terms: 12v + -12v = 0 14 + 0 = -6 + 12v + -12v 14 = -6 + 12v + -12v Combine like terms: 12v + -12v = 0 14 = -6 + 0 14 = -6 Solving 14 = -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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