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Simplifying 15(v + 3) + -3v = 3(4v + 4) + -17 Reorder the terms: 15(3 + v) + -3v = 3(4v + 4) + -17 (3 * 15 + v * 15) + -3v = 3(4v + 4) + -17 (45 + 15v) + -3v = 3(4v + 4) + -17 Combine like terms: 15v + -3v = 12v 45 + 12v = 3(4v + 4) + -17 Reorder the terms: 45 + 12v = 3(4 + 4v) + -17 45 + 12v = (4 * 3 + 4v * 3) + -17 45 + 12v = (12 + 12v) + -17 Reorder the terms: 45 + 12v = 12 + -17 + 12v Combine like terms: 12 + -17 = -5 45 + 12v = -5 + 12v Add '-12v' to each side of the equation. 45 + 12v + -12v = -5 + 12v + -12v Combine like terms: 12v + -12v = 0 45 + 0 = -5 + 12v + -12v 45 = -5 + 12v + -12v Combine like terms: 12v + -12v = 0 45 = -5 + 0 45 = -5 Solving 45 = -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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