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Simplifying 0.33(t + 100) = 500 Reorder the terms: 0.33(100 + t) = 500 (100 * 0.33 + t * 0.33) = 500 (33 + 0.33t) = 500 Solving 33 + 0.33t = 500 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 0.33t = 500 + -33 Combine like terms: 33 + -33 = 0 0 + 0.33t = 500 + -33 0.33t = 500 + -33 Combine like terms: 500 + -33 = 467 0.33t = 467 Divide each side by '0.33'. t = 1415.151515 Simplifying t = 1415.151515
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