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Simplifying 8t = 23 + 3(2t + -5) Reorder the terms: 8t = 23 + 3(-5 + 2t) 8t = 23 + (-5 * 3 + 2t * 3) 8t = 23 + (-15 + 6t) Combine like terms: 23 + -15 = 8 8t = 8 + 6t Solving 8t = 8 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 8t + -6t = 8 + 6t + -6t Combine like terms: 8t + -6t = 2t 2t = 8 + 6t + -6t Combine like terms: 6t + -6t = 0 2t = 8 + 0 2t = 8 Divide each side by '2'. t = 4 Simplifying t = 4
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