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Simplifying 12(v + 3) + -4v = 2(4v + 2) + -6 Reorder the terms: 12(3 + v) + -4v = 2(4v + 2) + -6 (3 * 12 + v * 12) + -4v = 2(4v + 2) + -6 (36 + 12v) + -4v = 2(4v + 2) + -6 Combine like terms: 12v + -4v = 8v 36 + 8v = 2(4v + 2) + -6 Reorder the terms: 36 + 8v = 2(2 + 4v) + -6 36 + 8v = (2 * 2 + 4v * 2) + -6 36 + 8v = (4 + 8v) + -6 Reorder the terms: 36 + 8v = 4 + -6 + 8v Combine like terms: 4 + -6 = -2 36 + 8v = -2 + 8v Add '-8v' to each side of the equation. 36 + 8v + -8v = -2 + 8v + -8v Combine like terms: 8v + -8v = 0 36 + 0 = -2 + 8v + -8v 36 = -2 + 8v + -8v Combine like terms: 8v + -8v = 0 36 = -2 + 0 36 = -2 Solving 36 = -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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