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Simplifying 0.09t + 0.10(t + 500) = 183 Reorder the terms: 0.09t + 0.10(500 + t) = 183 0.09t + (500 * 0.10 + t * 0.10) = 183 0.09t + (50 + 0.10t) = 183 Reorder the terms: 50 + 0.09t + 0.10t = 183 Combine like terms: 0.09t + 0.10t = 0.19t 50 + 0.19t = 183 Solving 50 + 0.19t = 183 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 0.19t = 183 + -50 Combine like terms: 50 + -50 = 0 0 + 0.19t = 183 + -50 0.19t = 183 + -50 Combine like terms: 183 + -50 = 133 0.19t = 133 Divide each side by '0.19'. t = 700 Simplifying t = 700
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