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Simplifying -2(t + -1) + 5 = 8t + -1 Reorder the terms: -2(-1 + t) + 5 = 8t + -1 (-1 * -2 + t * -2) + 5 = 8t + -1 (2 + -2t) + 5 = 8t + -1 Reorder the terms: 2 + 5 + -2t = 8t + -1 Combine like terms: 2 + 5 = 7 7 + -2t = 8t + -1 Reorder the terms: 7 + -2t = -1 + 8t Solving 7 + -2t = -1 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 7 + -2t + -8t = -1 + 8t + -8t Combine like terms: -2t + -8t = -10t 7 + -10t = -1 + 8t + -8t Combine like terms: 8t + -8t = 0 7 + -10t = -1 + 0 7 + -10t = -1 Add '-7' to each side of the equation. 7 + -7 + -10t = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -10t = -1 + -7 -10t = -1 + -7 Combine like terms: -1 + -7 = -8 -10t = -8 Divide each side by '-10'. t = 0.8 Simplifying t = 0.8
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