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Simplifying 15(v + 1) + -3v = 3(4v + 2) + -11 Reorder the terms: 15(1 + v) + -3v = 3(4v + 2) + -11 (1 * 15 + v * 15) + -3v = 3(4v + 2) + -11 (15 + 15v) + -3v = 3(4v + 2) + -11 Combine like terms: 15v + -3v = 12v 15 + 12v = 3(4v + 2) + -11 Reorder the terms: 15 + 12v = 3(2 + 4v) + -11 15 + 12v = (2 * 3 + 4v * 3) + -11 15 + 12v = (6 + 12v) + -11 Reorder the terms: 15 + 12v = 6 + -11 + 12v Combine like terms: 6 + -11 = -5 15 + 12v = -5 + 12v Add '-12v' to each side of the equation. 15 + 12v + -12v = -5 + 12v + -12v Combine like terms: 12v + -12v = 0 15 + 0 = -5 + 12v + -12v 15 = -5 + 12v + -12v Combine like terms: 12v + -12v = 0 15 = -5 + 0 15 = -5 Solving 15 = -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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