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Simplifying 8t + -1(5t + 2) = 17 Reorder the terms: 8t + -1(2 + 5t) = 17 8t + (2 * -1 + 5t * -1) = 17 8t + (-2 + -5t) = 17 Reorder the terms: -2 + 8t + -5t = 17 Combine like terms: 8t + -5t = 3t -2 + 3t = 17 Solving -2 + 3t = 17 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3t = 17 + 2 Combine like terms: -2 + 2 = 0 0 + 3t = 17 + 2 3t = 17 + 2 Combine like terms: 17 + 2 = 19 3t = 19 Divide each side by '3'. t = 6.333333333 Simplifying t = 6.333333333
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