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Simplifying 3(u + v) + -1t(u + v) = 0 (u * 3 + v * 3) + -1t(u + v) = 0 (3u + 3v) + -1t(u + v) = 0 3u + 3v + (u * -1t + v * -1t) = 0 3u + 3v + (-1tu + -1tv) = 0 Reorder the terms: -1tu + -1tv + 3u + 3v = 0 Solving -1tu + -1tv + 3u + 3v = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3u' to each side of the equation. -1tu + -1tv + 3u + -3u + 3v = 0 + -3u Combine like terms: 3u + -3u = 0 -1tu + -1tv + 0 + 3v = 0 + -3u -1tu + -1tv + 3v = 0 + -3u Remove the zero: -1tu + -1tv + 3v = -3u Add '-3v' to each side of the equation. -1tu + -1tv + 3v + -3v = -3u + -3v Combine like terms: 3v + -3v = 0 -1tu + -1tv + 0 = -3u + -3v -1tu + -1tv = -3u + -3v Reorder the terms: -1tu + -1tv + 3u + 3v = -3u + 3u + -3v + 3v Combine like terms: -3u + 3u = 0 -1tu + -1tv + 3u + 3v = 0 + -3v + 3v -1tu + -1tv + 3u + 3v = -3v + 3v Combine like terms: -3v + 3v = 0 -1tu + -1tv + 3u + 3v = 0 The solution to this equation could not be determined.
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