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Simplifying -3(v + 1) + 7v = 4(v + 1) + -5 Reorder the terms: -3(1 + v) + 7v = 4(v + 1) + -5 (1 * -3 + v * -3) + 7v = 4(v + 1) + -5 (-3 + -3v) + 7v = 4(v + 1) + -5 Combine like terms: -3v + 7v = 4v -3 + 4v = 4(v + 1) + -5 Reorder the terms: -3 + 4v = 4(1 + v) + -5 -3 + 4v = (1 * 4 + v * 4) + -5 -3 + 4v = (4 + 4v) + -5 Reorder the terms: -3 + 4v = 4 + -5 + 4v Combine like terms: 4 + -5 = -1 -3 + 4v = -1 + 4v Add '-4v' to each side of the equation. -3 + 4v + -4v = -1 + 4v + -4v Combine like terms: 4v + -4v = 0 -3 + 0 = -1 + 4v + -4v -3 = -1 + 4v + -4v Combine like terms: 4v + -4v = 0 -3 = -1 + 0 -3 = -1 Solving -3 = -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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