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Simplifying 2t + -5u + 4v + 4t + -12u + -9v = 0 Reorder the terms: 2t + 4t + -5u + -12u + 4v + -9v = 0 Combine like terms: 2t + 4t = 6t 6t + -5u + -12u + 4v + -9v = 0 Combine like terms: -5u + -12u = -17u 6t + -17u + 4v + -9v = 0 Combine like terms: 4v + -9v = -5v 6t + -17u + -5v = 0 Solving 6t + -17u + -5v = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '17u' to each side of the equation. 6t + -17u + 17u + -5v = 0 + 17u Combine like terms: -17u + 17u = 0 6t + 0 + -5v = 0 + 17u 6t + -5v = 0 + 17u Remove the zero: 6t + -5v = 17u Add '5v' to each side of the equation. 6t + -5v + 5v = 17u + 5v Combine like terms: -5v + 5v = 0 6t + 0 = 17u + 5v 6t = 17u + 5v Divide each side by '6'. t = 2.833333333u + 0.8333333333v Simplifying t = 2.833333333u + 0.8333333333v
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