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Simplifying 3 + 6t + -2 = 8t + 25 + -5t Reorder the terms: 3 + -2 + 6t = 8t + 25 + -5t Combine like terms: 3 + -2 = 1 1 + 6t = 8t + 25 + -5t Reorder the terms: 1 + 6t = 25 + 8t + -5t Combine like terms: 8t + -5t = 3t 1 + 6t = 25 + 3t Solving 1 + 6t = 25 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 1 + 6t + -3t = 25 + 3t + -3t Combine like terms: 6t + -3t = 3t 1 + 3t = 25 + 3t + -3t Combine like terms: 3t + -3t = 0 1 + 3t = 25 + 0 1 + 3t = 25 Add '-1' to each side of the equation. 1 + -1 + 3t = 25 + -1 Combine like terms: 1 + -1 = 0 0 + 3t = 25 + -1 3t = 25 + -1 Combine like terms: 25 + -1 = 24 3t = 24 Divide each side by '3'. t = 8 Simplifying t = 8
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