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