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Simplifying 8t + 5(1.1 + -1t) = 7 8t + (1.1 * 5 + -1t * 5) = 7 8t + (5.5 + -5t) = 7 Reorder the terms: 5.5 + 8t + -5t = 7 Combine like terms: 8t + -5t = 3t 5.5 + 3t = 7 Solving 5.5 + 3t = 7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5.5' to each side of the equation. 5.5 + -5.5 + 3t = 7 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + 3t = 7 + -5.5 3t = 7 + -5.5 Combine like terms: 7 + -5.5 = 1.5 3t = 1.5 Divide each side by '3'. t = 0.5 Simplifying t = 0.5
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