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Simplifying -8(t + -1) + 2t = 2 + t Reorder the terms: -8(-1 + t) + 2t = 2 + t (-1 * -8 + t * -8) + 2t = 2 + t (8 + -8t) + 2t = 2 + t Combine like terms: -8t + 2t = -6t 8 + -6t = 2 + t Solving 8 + -6t = 2 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 8 + -6t + -1t = 2 + t + -1t Combine like terms: -6t + -1t = -7t 8 + -7t = 2 + t + -1t Combine like terms: t + -1t = 0 8 + -7t = 2 + 0 8 + -7t = 2 Add '-8' to each side of the equation. 8 + -8 + -7t = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -7t = 2 + -8 -7t = 2 + -8 Combine like terms: 2 + -8 = -6 -7t = -6 Divide each side by '-7'. t = 0.8571428571 Simplifying t = 0.8571428571
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