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