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Simplifying 3t + 4 = 500 + t Reorder the terms: 4 + 3t = 500 + t Solving 4 + 3t = 500 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 4 + 3t + -1t = 500 + t + -1t Combine like terms: 3t + -1t = 2t 4 + 2t = 500 + t + -1t Combine like terms: t + -1t = 0 4 + 2t = 500 + 0 4 + 2t = 500 Add '-4' to each side of the equation. 4 + -4 + 2t = 500 + -4 Combine like terms: 4 + -4 = 0 0 + 2t = 500 + -4 2t = 500 + -4 Combine like terms: 500 + -4 = 496 2t = 496 Divide each side by '2'. t = 248 Simplifying t = 248
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