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Simplifying 0.3t + 0.18(5000 + -1t) = 0.21(5000) 0.3t + (5000 * 0.18 + -1t * 0.18) = 0.21(5000) 0.3t + (900 + -0.18t) = 0.21(5000) Reorder the terms: 900 + 0.3t + -0.18t = 0.21(5000) Combine like terms: 0.3t + -0.18t = 0.12t 900 + 0.12t = 0.21(5000) Multiply 0.21 * 5000 900 + 0.12t = 1050 Solving 900 + 0.12t = 1050 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-900' to each side of the equation. 900 + -900 + 0.12t = 1050 + -900 Combine like terms: 900 + -900 = 0 0 + 0.12t = 1050 + -900 0.12t = 1050 + -900 Combine like terms: 1050 + -900 = 150 0.12t = 150 Divide each side by '0.12'. t = 1250 Simplifying t = 1250
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