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Simplifying -5(t + -1) + 8t = 7 + -1 Reorder the terms: -5(-1 + t) + 8t = 7 + -1 (-1 * -5 + t * -5) + 8t = 7 + -1 (5 + -5t) + 8t = 7 + -1 Combine like terms: -5t + 8t = 3t 5 + 3t = 7 + -1 Combine like terms: 7 + -1 = 6 5 + 3t = 6 Solving 5 + 3t = 6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3t = 6 + -5 Combine like terms: 5 + -5 = 0 0 + 3t = 6 + -5 3t = 6 + -5 Combine like terms: 6 + -5 = 1 3t = 1 Divide each side by '3'. t = 0.3333333333 Simplifying t = 0.3333333333
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