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Simplifying -2(t + -1) + 8t = 9t + -5 Reorder the terms: -2(-1 + t) + 8t = 9t + -5 (-1 * -2 + t * -2) + 8t = 9t + -5 (2 + -2t) + 8t = 9t + -5 Combine like terms: -2t + 8t = 6t 2 + 6t = 9t + -5 Reorder the terms: 2 + 6t = -5 + 9t Solving 2 + 6t = -5 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 2 + 6t + -9t = -5 + 9t + -9t Combine like terms: 6t + -9t = -3t 2 + -3t = -5 + 9t + -9t Combine like terms: 9t + -9t = 0 2 + -3t = -5 + 0 2 + -3t = -5 Add '-2' to each side of the equation. 2 + -2 + -3t = -5 + -2 Combine like terms: 2 + -2 = 0 0 + -3t = -5 + -2 -3t = -5 + -2 Combine like terms: -5 + -2 = -7 -3t = -7 Divide each side by '-3'. t = 2.333333333 Simplifying t = 2.333333333
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