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Simplifying 12(v + 3) + -4v = 4(2v + 4) + -17 Reorder the terms: 12(3 + v) + -4v = 4(2v + 4) + -17 (3 * 12 + v * 12) + -4v = 4(2v + 4) + -17 (36 + 12v) + -4v = 4(2v + 4) + -17 Combine like terms: 12v + -4v = 8v 36 + 8v = 4(2v + 4) + -17 Reorder the terms: 36 + 8v = 4(4 + 2v) + -17 36 + 8v = (4 * 4 + 2v * 4) + -17 36 + 8v = (16 + 8v) + -17 Reorder the terms: 36 + 8v = 16 + -17 + 8v Combine like terms: 16 + -17 = -1 36 + 8v = -1 + 8v Add '-8v' to each side of the equation. 36 + 8v + -8v = -1 + 8v + -8v Combine like terms: 8v + -8v = 0 36 + 0 = -1 + 8v + -8v 36 = -1 + 8v + -8v Combine like terms: 8v + -8v = 0 36 = -1 + 0 36 = -1 Solving 36 = -1 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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