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Simplifying 15(v + 3) + -3v = 3(4v + 1) + -7 Reorder the terms: 15(3 + v) + -3v = 3(4v + 1) + -7 (3 * 15 + v * 15) + -3v = 3(4v + 1) + -7 (45 + 15v) + -3v = 3(4v + 1) + -7 Combine like terms: 15v + -3v = 12v 45 + 12v = 3(4v + 1) + -7 Reorder the terms: 45 + 12v = 3(1 + 4v) + -7 45 + 12v = (1 * 3 + 4v * 3) + -7 45 + 12v = (3 + 12v) + -7 Reorder the terms: 45 + 12v = 3 + -7 + 12v Combine like terms: 3 + -7 = -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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