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Simplifying 12(v + 2) + -4v = 2(4v + 3) + -8 Reorder the terms: 12(2 + v) + -4v = 2(4v + 3) + -8 (2 * 12 + v * 12) + -4v = 2(4v + 3) + -8 (24 + 12v) + -4v = 2(4v + 3) + -8 Combine like terms: 12v + -4v = 8v 24 + 8v = 2(4v + 3) + -8 Reorder the terms: 24 + 8v = 2(3 + 4v) + -8 24 + 8v = (3 * 2 + 4v * 2) + -8 24 + 8v = (6 + 8v) + -8 Reorder the terms: 24 + 8v = 6 + -8 + 8v Combine like terms: 6 + -8 = -2 24 + 8v = -2 + 8v Add '-8v' to each side of the equation. 24 + 8v + -8v = -2 + 8v + -8v Combine like terms: 8v + -8v = 0 24 + 0 = -2 + 8v + -8v 24 = -2 + 8v + -8v Combine like terms: 8v + -8v = 0 24 = -2 + 0 24 = -2 Solving 24 = -2 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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