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Simplifying 8(v + 4) + -2v = 3(2v + 2) + -12 Reorder the terms: 8(4 + v) + -2v = 3(2v + 2) + -12 (4 * 8 + v * 8) + -2v = 3(2v + 2) + -12 (32 + 8v) + -2v = 3(2v + 2) + -12 Combine like terms: 8v + -2v = 6v 32 + 6v = 3(2v + 2) + -12 Reorder the terms: 32 + 6v = 3(2 + 2v) + -12 32 + 6v = (2 * 3 + 2v * 3) + -12 32 + 6v = (6 + 6v) + -12 Reorder the terms: 32 + 6v = 6 + -12 + 6v Combine like terms: 6 + -12 = -6 32 + 6v = -6 + 6v Add '-6v' to each side of the equation. 32 + 6v + -6v = -6 + 6v + -6v Combine like terms: 6v + -6v = 0 32 + 0 = -6 + 6v + -6v 32 = -6 + 6v + -6v Combine like terms: 6v + -6v = 0 32 = -6 + 0 32 = -6 Solving 32 = -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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