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Simplifying 5t + u + v = 3t Solving 5t + u + v = 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 5t + u + -3t + v = 3t + -3t Reorder the terms: 5t + -3t + u + v = 3t + -3t Combine like terms: 5t + -3t = 2t 2t + u + v = 3t + -3t Combine like terms: 3t + -3t = 0 2t + u + v = 0 Add '-1u' to each side of the equation. 2t + u + -1u + v = 0 + -1u Combine like terms: u + -1u = 0 2t + 0 + v = 0 + -1u 2t + v = 0 + -1u Remove the zero: 2t + v = -1u Add '-1v' to each side of the equation. 2t + v + -1v = -1u + -1v Combine like terms: v + -1v = 0 2t + 0 = -1u + -1v 2t = -1u + -1v Divide each side by '2'. t = -0.5u + -0.5v Simplifying t = -0.5u + -0.5v
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