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