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Simplifying t + 5v + 6 + 7t = 0 Reorder the terms: 6 + t + 7t + 5v = 0 Combine like terms: t + 7t = 8t 6 + 8t + 5v = 0 Solving 6 + 8t + 5v = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 8t + -6 + 5v = 0 + -6 Reorder the terms: 6 + -6 + 8t + 5v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 8t + 5v = 0 + -6 8t + 5v = 0 + -6 Combine like terms: 0 + -6 = -6 8t + 5v = -6 Add '-5v' to each side of the equation. 8t + 5v + -5v = -6 + -5v Combine like terms: 5v + -5v = 0 8t + 0 = -6 + -5v 8t = -6 + -5v Divide each side by '8'. t = -0.75 + -0.625v Simplifying t = -0.75 + -0.625v
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