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Simplifying 3(4v + 1) + -3(2v + -3) = 2(v + -7) + 4v + 28 Reorder the terms: 3(1 + 4v) + -3(2v + -3) = 2(v + -7) + 4v + 28 (1 * 3 + 4v * 3) + -3(2v + -3) = 2(v + -7) + 4v + 28 (3 + 12v) + -3(2v + -3) = 2(v + -7) + 4v + 28 Reorder the terms: 3 + 12v + -3(-3 + 2v) = 2(v + -7) + 4v + 28 3 + 12v + (-3 * -3 + 2v * -3) = 2(v + -7) + 4v + 28 3 + 12v + (9 + -6v) = 2(v + -7) + 4v + 28 Reorder the terms: 3 + 9 + 12v + -6v = 2(v + -7) + 4v + 28 Combine like terms: 3 + 9 = 12 12 + 12v + -6v = 2(v + -7) + 4v + 28 Combine like terms: 12v + -6v = 6v 12 + 6v = 2(v + -7) + 4v + 28 Reorder the terms: 12 + 6v = 2(-7 + v) + 4v + 28 12 + 6v = (-7 * 2 + v * 2) + 4v + 28 12 + 6v = (-14 + 2v) + 4v + 28 Reorder the terms: 12 + 6v = -14 + 28 + 2v + 4v Combine like terms: -14 + 28 = 14 12 + 6v = 14 + 2v + 4v Combine like terms: 2v + 4v = 6v 12 + 6v = 14 + 6v Add '-6v' to each side of the equation. 12 + 6v + -6v = 14 + 6v + -6v Combine like terms: 6v + -6v = 0 12 + 0 = 14 + 6v + -6v 12 = 14 + 6v + -6v Combine like terms: 6v + -6v = 0 12 = 14 + 0 12 = 14 Solving 12 = 14 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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