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Simplifying 5t + 6 + -3t + -8 = 46 Reorder the terms: 6 + -8 + 5t + -3t = 46 Combine like terms: 6 + -8 = -2 -2 + 5t + -3t = 46 Combine like terms: 5t + -3t = 2t -2 + 2t = 46 Solving -2 + 2t = 46 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 + 2t = 46 + 2 Combine like terms: -2 + 2 = 0 0 + 2t = 46 + 2 2t = 46 + 2 Combine like terms: 46 + 2 = 48 2t = 48 Divide each side by '2'. t = 24 Simplifying t = 24
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