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Simplifying -1(-3t + -2v) + -1(-4t + -3v) = 0 (-3t * -1 + -2v * -1) + -1(-4t + -3v) = 0 (3t + 2v) + -1(-4t + -3v) = 0 3t + 2v + (-4t * -1 + -3v * -1) = 0 3t + 2v + (4t + 3v) = 0 Reorder the terms: 3t + 4t + 2v + 3v = 0 Combine like terms: 3t + 4t = 7t 7t + 2v + 3v = 0 Combine like terms: 2v + 3v = 5v 7t + 5v = 0 Solving 7t + 5v = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5v' to each side of the equation. 7t + 5v + -5v = 0 + -5v Combine like terms: 5v + -5v = 0 7t + 0 = 0 + -5v 7t = 0 + -5v Remove the zero: 7t = -5v Divide each side by '7'. t = -0.7142857143v Simplifying t = -0.7142857143v
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