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Simplifying 5u + -2(3 + u) = 5(2u + -1) + -7u 5u + (3 * -2 + u * -2) = 5(2u + -1) + -7u 5u + (-6 + -2u) = 5(2u + -1) + -7u Reorder the terms: -6 + 5u + -2u = 5(2u + -1) + -7u Combine like terms: 5u + -2u = 3u -6 + 3u = 5(2u + -1) + -7u Reorder the terms: -6 + 3u = 5(-1 + 2u) + -7u -6 + 3u = (-1 * 5 + 2u * 5) + -7u -6 + 3u = (-5 + 10u) + -7u Combine like terms: 10u + -7u = 3u -6 + 3u = -5 + 3u Add '-3u' to each side of the equation. -6 + 3u + -3u = -5 + 3u + -3u Combine like terms: 3u + -3u = 0 -6 + 0 = -5 + 3u + -3u -6 = -5 + 3u + -3u Combine like terms: 3u + -3u = 0 -6 = -5 + 0 -6 = -5 Solving -6 = -5 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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