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Simplifying 3u + -5t + -7u + 3v + t + -2v = 0 Reorder the terms: -5t + t + 3u + -7u + 3v + -2v = 0 Combine like terms: -5t + t = -4t -4t + 3u + -7u + 3v + -2v = 0 Combine like terms: 3u + -7u = -4u -4t + -4u + 3v + -2v = 0 Combine like terms: 3v + -2v = 1v -4t + -4u + 1v = 0 Solving -4t + -4u + 1v = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4u' to each side of the equation. -4t + -4u + 4u + 1v = 0 + 4u Combine like terms: -4u + 4u = 0 -4t + 0 + 1v = 0 + 4u -4t + 1v = 0 + 4u Remove the zero: -4t + 1v = 4u Add '-1v' to each side of the equation. -4t + 1v + -1v = 4u + -1v Combine like terms: 1v + -1v = 0 -4t + 0 = 4u + -1v -4t = 4u + -1v Divide each side by '-4'. t = -1u + 0.25v Simplifying t = -1u + 0.25v
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