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Simplifying 5(v + 1) + 7 = 3(v + -1) + 2v Reorder the terms: 5(1 + v) + 7 = 3(v + -1) + 2v (1 * 5 + v * 5) + 7 = 3(v + -1) + 2v (5 + 5v) + 7 = 3(v + -1) + 2v Reorder the terms: 5 + 7 + 5v = 3(v + -1) + 2v Combine like terms: 5 + 7 = 12 12 + 5v = 3(v + -1) + 2v Reorder the terms: 12 + 5v = 3(-1 + v) + 2v 12 + 5v = (-1 * 3 + v * 3) + 2v 12 + 5v = (-3 + 3v) + 2v Combine like terms: 3v + 2v = 5v 12 + 5v = -3 + 5v Add '-5v' to each side of the equation. 12 + 5v + -5v = -3 + 5v + -5v Combine like terms: 5v + -5v = 0 12 + 0 = -3 + 5v + -5v 12 = -3 + 5v + -5v Combine like terms: 5v + -5v = 0 12 = -3 + 0 12 = -3 Solving 12 = -3 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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