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Simplifying 500 + 3t = t + 820 Reorder the terms: 500 + 3t = 820 + t Solving 500 + 3t = 820 + 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. 500 + 3t + -1t = 820 + t + -1t Combine like terms: 3t + -1t = 2t 500 + 2t = 820 + t + -1t Combine like terms: t + -1t = 0 500 + 2t = 820 + 0 500 + 2t = 820 Add '-500' to each side of the equation. 500 + -500 + 2t = 820 + -500 Combine like terms: 500 + -500 = 0 0 + 2t = 820 + -500 2t = 820 + -500 Combine like terms: 820 + -500 = 320 2t = 320 Divide each side by '2'. t = 160 Simplifying t = 160
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