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Simplifying -1(-8t + 2) + 7 = 1 + -1t Reorder the terms: -1(2 + -8t) + 7 = 1 + -1t (2 * -1 + -8t * -1) + 7 = 1 + -1t (-2 + 8t) + 7 = 1 + -1t Reorder the terms: -2 + 7 + 8t = 1 + -1t Combine like terms: -2 + 7 = 5 5 + 8t = 1 + -1t Solving 5 + 8t = 1 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. 5 + 8t + t = 1 + -1t + t Combine like terms: 8t + t = 9t 5 + 9t = 1 + -1t + t Combine like terms: -1t + t = 0 5 + 9t = 1 + 0 5 + 9t = 1 Add '-5' to each side of the equation. 5 + -5 + 9t = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 9t = 1 + -5 9t = 1 + -5 Combine like terms: 1 + -5 = -4 9t = -4 Divide each side by '9'. t = -0.4444444444 Simplifying t = -0.4444444444
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