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Simplifying 8t + 17 = 5t + 35 Reorder the terms: 17 + 8t = 5t + 35 Reorder the terms: 17 + 8t = 35 + 5t Solving 17 + 8t = 35 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 17 + 8t + -5t = 35 + 5t + -5t Combine like terms: 8t + -5t = 3t 17 + 3t = 35 + 5t + -5t Combine like terms: 5t + -5t = 0 17 + 3t = 35 + 0 17 + 3t = 35 Add '-17' to each side of the equation. 17 + -17 + 3t = 35 + -17 Combine like terms: 17 + -17 = 0 0 + 3t = 35 + -17 3t = 35 + -17 Combine like terms: 35 + -17 = 18 3t = 18 Divide each side by '3'. t = 6 Simplifying t = 6
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