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Simplifying -2(t + -1) + 5t = 8t + -8 Reorder the terms: -2(-1 + t) + 5t = 8t + -8 (-1 * -2 + t * -2) + 5t = 8t + -8 (2 + -2t) + 5t = 8t + -8 Combine like terms: -2t + 5t = 3t 2 + 3t = 8t + -8 Reorder the terms: 2 + 3t = -8 + 8t Solving 2 + 3t = -8 + 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. 2 + 3t + -8t = -8 + 8t + -8t Combine like terms: 3t + -8t = -5t 2 + -5t = -8 + 8t + -8t Combine like terms: 8t + -8t = 0 2 + -5t = -8 + 0 2 + -5t = -8 Add '-2' to each side of the equation. 2 + -2 + -5t = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -5t = -8 + -2 -5t = -8 + -2 Combine like terms: -8 + -2 = -10 -5t = -10 Divide each side by '-5'. t = 2 Simplifying t = 2
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