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Simplifying 8t + 6(1.5 + -1t) = 6 8t + (1.5 * 6 + -1t * 6) = 6 8t + (9 + -6t) = 6 Reorder the terms: 9 + 8t + -6t = 6 Combine like terms: 8t + -6t = 2t 9 + 2t = 6 Solving 9 + 2t = 6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2t = 6 + -9 Combine like terms: 9 + -9 = 0 0 + 2t = 6 + -9 2t = 6 + -9 Combine like terms: 6 + -9 = -3 2t = -3 Divide each side by '2'. t = -1.5 Simplifying t = -1.5
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