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Simplifying 8t + 6(1 + -1t) = 7 8t + (1 * 6 + -1t * 6) = 7 8t + (6 + -6t) = 7 Reorder the terms: 6 + 8t + -6t = 7 Combine like terms: 8t + -6t = 2t 6 + 2t = 7 Solving 6 + 2t = 7 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 + 2t = 7 + -6 Combine like terms: 6 + -6 = 0 0 + 2t = 7 + -6 2t = 7 + -6 Combine like terms: 7 + -6 = 1 2t = 1 Divide each side by '2'. t = 0.5 Simplifying t = 0.5
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