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Simplifying 12(v + 1) + -4v = 2(4v + 3) + -12 Reorder the terms: 12(1 + v) + -4v = 2(4v + 3) + -12 (1 * 12 + v * 12) + -4v = 2(4v + 3) + -12 (12 + 12v) + -4v = 2(4v + 3) + -12 Combine like terms: 12v + -4v = 8v 12 + 8v = 2(4v + 3) + -12 Reorder the terms: 12 + 8v = 2(3 + 4v) + -12 12 + 8v = (3 * 2 + 4v * 2) + -12 12 + 8v = (6 + 8v) + -12 Reorder the terms: 12 + 8v = 6 + -12 + 8v Combine like terms: 6 + -12 = -6 12 + 8v = -6 + 8v Add '-8v' to each side of the equation. 12 + 8v + -8v = -6 + 8v + -8v Combine like terms: 8v + -8v = 0 12 + 0 = -6 + 8v + -8v 12 = -6 + 8v + -8v Combine like terms: 8v + -8v = 0 12 = -6 + 0 12 = -6 Solving 12 = -6 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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