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Simplifying 5t + 8 + -3t + -6 = 46 Reorder the terms: 8 + -6 + 5t + -3t = 46 Combine like terms: 8 + -6 = 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 = 44 2t = 44 Divide each side by '2'. t = 22 Simplifying t = 22
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