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Simplifying 8t + 9t + 6 + -8t = 0 Reorder the terms: 6 + 8t + 9t + -8t = 0 Combine like terms: 8t + 9t = 17t 6 + 17t + -8t = 0 Combine like terms: 17t + -8t = 9t 6 + 9t = 0 Solving 6 + 9t = 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 + -6 + 9t = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 9t = 0 + -6 9t = 0 + -6 Combine like terms: 0 + -6 = -6 9t = -6 Divide each side by '9'. t = -0.6666666667 Simplifying t = -0.6666666667
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