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Simplifying 2t = 5t + -3(2 + -1t) 2t = 5t + (2 * -3 + -1t * -3) 2t = 5t + (-6 + 3t) Reorder the terms: 2t = -6 + 5t + 3t Combine like terms: 5t + 3t = 8t 2t = -6 + 8t Solving 2t = -6 + 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. 2t + -8t = -6 + 8t + -8t Combine like terms: 2t + -8t = -6t -6t = -6 + 8t + -8t Combine like terms: 8t + -8t = 0 -6t = -6 + 0 -6t = -6 Divide each side by '-6'. t = 1 Simplifying t = 1
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