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Simplifying 4u + -3(u + -7) = 3(u + 13) + 3(u + -6) + -5u Reorder the terms: 4u + -3(-7 + u) = 3(u + 13) + 3(u + -6) + -5u 4u + (-7 * -3 + u * -3) = 3(u + 13) + 3(u + -6) + -5u 4u + (21 + -3u) = 3(u + 13) + 3(u + -6) + -5u Reorder the terms: 21 + 4u + -3u = 3(u + 13) + 3(u + -6) + -5u Combine like terms: 4u + -3u = 1u 21 + 1u = 3(u + 13) + 3(u + -6) + -5u Reorder the terms: 21 + 1u = 3(13 + u) + 3(u + -6) + -5u 21 + 1u = (13 * 3 + u * 3) + 3(u + -6) + -5u 21 + 1u = (39 + 3u) + 3(u + -6) + -5u Reorder the terms: 21 + 1u = 39 + 3u + 3(-6 + u) + -5u 21 + 1u = 39 + 3u + (-6 * 3 + u * 3) + -5u 21 + 1u = 39 + 3u + (-18 + 3u) + -5u Reorder the terms: 21 + 1u = 39 + -18 + 3u + 3u + -5u Combine like terms: 39 + -18 = 21 21 + 1u = 21 + 3u + 3u + -5u Combine like terms: 3u + 3u = 6u 21 + 1u = 21 + 6u + -5u Combine like terms: 6u + -5u = 1u 21 + 1u = 21 + 1u Add '-21' to each side of the equation. 21 + -21 + 1u = 21 + -21 + 1u Combine like terms: 21 + -21 = 0 0 + 1u = 21 + -21 + 1u 1u = 21 + -21 + 1u Combine like terms: 21 + -21 = 0 1u = 0 + 1u 1u = 1u Add '-1u' to each side of the equation. 1u + -1u = 1u + -1u Combine like terms: 1u + -1u = 0 0 = 1u + -1u Combine like terms: 1u + -1u = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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