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Simplifying u(3v + w) = (3v + w) * u (3v * u + w * u) = (3v + w) * u (3uv + uw) = (3v + w) * u Reorder the terms for easier multiplication: 3uv + uw = u(3v + w) 3uv + uw = (3v * u + w * u) 3uv + uw = (3uv + uw) Add '-3uv' to each side of the equation. 3uv + -3uv + uw = 3uv + -3uv + uw Combine like terms: 3uv + -3uv = 0 0 + uw = 3uv + -3uv + uw uw = 3uv + -3uv + uw Combine like terms: 3uv + -3uv = 0 uw = 0 + uw uw = uw Add '-1uw' to each side of the equation. uw + -1uw = uw + -1uw Combine like terms: uw + -1uw = 0 0 = uw + -1uw Combine like terms: uw + -1uw = 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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