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Simplifying 5t + -8 + -2t + 3 = 0 Reorder the terms: -8 + 3 + 5t + -2t = 0 Combine like terms: -8 + 3 = -5 -5 + 5t + -2t = 0 Combine like terms: 5t + -2t = 3t -5 + 3t = 0 Solving -5 + 3t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3t = 0 + 5 3t = 0 + 5 Combine like terms: 0 + 5 = 5 3t = 5 Divide each side by '3'. t = 1.666666667 Simplifying t = 1.666666667
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