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Simplifying 3t + 5 = 8t + 10 Reorder the terms: 5 + 3t = 8t + 10 Reorder the terms: 5 + 3t = 10 + 8t Solving 5 + 3t = 10 + 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. 5 + 3t + -8t = 10 + 8t + -8t Combine like terms: 3t + -8t = -5t 5 + -5t = 10 + 8t + -8t Combine like terms: 8t + -8t = 0 5 + -5t = 10 + 0 5 + -5t = 10 Add '-5' to each side of the equation. 5 + -5 + -5t = 10 + -5 Combine like terms: 5 + -5 = 0 0 + -5t = 10 + -5 -5t = 10 + -5 Combine like terms: 10 + -5 = 5 -5t = 5 Divide each side by '-5'. t = -1 Simplifying t = -1
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