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Simplifying 8(v + 3) + -2v = 3(2v + 2) + -7 Reorder the terms: 8(3 + v) + -2v = 3(2v + 2) + -7 (3 * 8 + v * 8) + -2v = 3(2v + 2) + -7 (24 + 8v) + -2v = 3(2v + 2) + -7 Combine like terms: 8v + -2v = 6v 24 + 6v = 3(2v + 2) + -7 Reorder the terms: 24 + 6v = 3(2 + 2v) + -7 24 + 6v = (2 * 3 + 2v * 3) + -7 24 + 6v = (6 + 6v) + -7 Reorder the terms: 24 + 6v = 6 + -7 + 6v Combine like terms: 6 + -7 = -1 24 + 6v = -1 + 6v Add '-6v' to each side of the equation. 24 + 6v + -6v = -1 + 6v + -6v Combine like terms: 6v + -6v = 0 24 + 0 = -1 + 6v + -6v 24 = -1 + 6v + -6v Combine like terms: 6v + -6v = 0 24 = -1 + 0 24 = -1 Solving 24 = -1 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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