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Simplifying 15(v + 3) + -3v = 4(3v + 2) + -12 Reorder the terms: 15(3 + v) + -3v = 4(3v + 2) + -12 (3 * 15 + v * 15) + -3v = 4(3v + 2) + -12 (45 + 15v) + -3v = 4(3v + 2) + -12 Combine like terms: 15v + -3v = 12v 45 + 12v = 4(3v + 2) + -12 Reorder the terms: 45 + 12v = 4(2 + 3v) + -12 45 + 12v = (2 * 4 + 3v * 4) + -12 45 + 12v = (8 + 12v) + -12 Reorder the terms: 45 + 12v = 8 + -12 + 12v Combine like terms: 8 + -12 = -4 45 + 12v = -4 + 12v Add '-12v' to each side of the equation. 45 + 12v + -12v = -4 + 12v + -12v Combine like terms: 12v + -12v = 0 45 + 0 = -4 + 12v + -12v 45 = -4 + 12v + -12v Combine like terms: 12v + -12v = 0 45 = -4 + 0 45 = -4 Solving 45 = -4 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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