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Simplifying 8t + 8 = 3(2t + 5) Reorder the terms: 8 + 8t = 3(2t + 5) Reorder the terms: 8 + 8t = 3(5 + 2t) 8 + 8t = (5 * 3 + 2t * 3) 8 + 8t = (15 + 6t) Solving 8 + 8t = 15 + 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. 8 + 8t + -6t = 15 + 6t + -6t Combine like terms: 8t + -6t = 2t 8 + 2t = 15 + 6t + -6t Combine like terms: 6t + -6t = 0 8 + 2t = 15 + 0 8 + 2t = 15 Add '-8' to each side of the equation. 8 + -8 + 2t = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 2t = 15 + -8 2t = 15 + -8 Combine like terms: 15 + -8 = 7 2t = 7 Divide each side by '2'. t = 3.5 Simplifying t = 3.5
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