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Simplifying 8t + 6t + -3 = 9t + 8 + -2t Reorder the terms: -3 + 8t + 6t = 9t + 8 + -2t Combine like terms: 8t + 6t = 14t -3 + 14t = 9t + 8 + -2t Reorder the terms: -3 + 14t = 8 + 9t + -2t Combine like terms: 9t + -2t = 7t -3 + 14t = 8 + 7t Solving -3 + 14t = 8 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. -3 + 14t + -7t = 8 + 7t + -7t Combine like terms: 14t + -7t = 7t -3 + 7t = 8 + 7t + -7t Combine like terms: 7t + -7t = 0 -3 + 7t = 8 + 0 -3 + 7t = 8 Add '3' to each side of the equation. -3 + 3 + 7t = 8 + 3 Combine like terms: -3 + 3 = 0 0 + 7t = 8 + 3 7t = 8 + 3 Combine like terms: 8 + 3 = 11 7t = 11 Divide each side by '7'. t = 1.571428571 Simplifying t = 1.571428571
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