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Simplifying 3t + v + t + 7v = 0 Reorder the terms: 3t + t + v + 7v = 0 Combine like terms: 3t + t = 4t 4t + v + 7v = 0 Combine like terms: v + 7v = 8v 4t + 8v = 0 Solving 4t + 8v = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8v' to each side of the equation. 4t + 8v + -8v = 0 + -8v Combine like terms: 8v + -8v = 0 4t + 0 = 0 + -8v 4t = 0 + -8v Remove the zero: 4t = -8v Divide each side by '4'. t = -2v Simplifying t = -2v
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