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Simplifying 6 + -1t + 8(1.5 + -1t) = 11 6 + -1t + (1.5 * 8 + -1t * 8) = 11 6 + -1t + (12 + -8t) = 11 Reorder the terms: 6 + 12 + -1t + -8t = 11 Combine like terms: 6 + 12 = 18 18 + -1t + -8t = 11 Combine like terms: -1t + -8t = -9t 18 + -9t = 11 Solving 18 + -9t = 11 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -9t = 11 + -18 Combine like terms: 18 + -18 = 0 0 + -9t = 11 + -18 -9t = 11 + -18 Combine like terms: 11 + -18 = -7 -9t = -7 Divide each side by '-9'. t = 0.7777777778 Simplifying t = 0.7777777778
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