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Simplifying 1 = 9(8t + -1) + -1(8 + t) Reorder the terms: 1 = 9(-1 + 8t) + -1(8 + t) 1 = (-1 * 9 + 8t * 9) + -1(8 + t) 1 = (-9 + 72t) + -1(8 + t) 1 = -9 + 72t + (8 * -1 + t * -1) 1 = -9 + 72t + (-8 + -1t) Reorder the terms: 1 = -9 + -8 + 72t + -1t Combine like terms: -9 + -8 = -17 1 = -17 + 72t + -1t Combine like terms: 72t + -1t = 71t 1 = -17 + 71t Solving 1 = -17 + 71t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-71t' to each side of the equation. 1 + -71t = -17 + 71t + -71t Combine like terms: 71t + -71t = 0 1 + -71t = -17 + 0 1 + -71t = -17 Add '-1' to each side of the equation. 1 + -1 + -71t = -17 + -1 Combine like terms: 1 + -1 = 0 0 + -71t = -17 + -1 -71t = -17 + -1 Combine like terms: -17 + -1 = -18 -71t = -18 Divide each side by '-71'. t = 0.2535211268 Simplifying t = 0.2535211268
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