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Simplifying 5t + 2 + 4t + -8t = 5 + 5 Reorder the terms: 2 + 5t + 4t + -8t = 5 + 5 Combine like terms: 5t + 4t = 9t 2 + 9t + -8t = 5 + 5 Combine like terms: 9t + -8t = 1t 2 + 1t = 5 + 5 Combine like terms: 5 + 5 = 10 2 + 1t = 10 Solving 2 + 1t = 10 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 1t = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 1t = 10 + -2 1t = 10 + -2 Combine like terms: 10 + -2 = 8 1t = 8 Divide each side by '1'. t = 8 Simplifying t = 8
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