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Simplifying 5t + 4t + -8t + -2 = 0 Reorder the terms: -2 + 5t + 4t + -8t = 0 Combine like terms: 5t + 4t = 9t -2 + 9t + -8t = 0 Combine like terms: 9t + -8t = 1t -2 + 1t = 0 Solving -2 + 1t = 0 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 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 1t = 0 + 2 1t = 0 + 2 Combine like terms: 0 + 2 = 2 1t = 2 Divide each side by '1'. t = 2 Simplifying t = 2
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