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Simplifying 15(v + 2) + -3v = 3(4v + 1) + -8 Reorder the terms: 15(2 + v) + -3v = 3(4v + 1) + -8 (2 * 15 + v * 15) + -3v = 3(4v + 1) + -8 (30 + 15v) + -3v = 3(4v + 1) + -8 Combine like terms: 15v + -3v = 12v 30 + 12v = 3(4v + 1) + -8 Reorder the terms: 30 + 12v = 3(1 + 4v) + -8 30 + 12v = (1 * 3 + 4v * 3) + -8 30 + 12v = (3 + 12v) + -8 Reorder the terms: 30 + 12v = 3 + -8 + 12v Combine like terms: 3 + -8 = -5 30 + 12v = -5 + 12v Add '-12v' to each side of the equation. 30 + 12v + -12v = -5 + 12v + -12v Combine like terms: 12v + -12v = 0 30 + 0 = -5 + 12v + -12v 30 = -5 + 12v + -12v Combine like terms: 12v + -12v = 0 30 = -5 + 0 30 = -5 Solving 30 = -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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