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Simplifying 0.05t + 0.02(6000 + -1t) = 270 0.05t + (6000 * 0.02 + -1t * 0.02) = 270 0.05t + (120 + -0.02t) = 270 Reorder the terms: 120 + 0.05t + -0.02t = 270 Combine like terms: 0.05t + -0.02t = 0.03t 120 + 0.03t = 270 Solving 120 + 0.03t = 270 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + 0.03t = 270 + -120 Combine like terms: 120 + -120 = 0 0 + 0.03t = 270 + -120 0.03t = 270 + -120 Combine like terms: 270 + -120 = 150 0.03t = 150 Divide each side by '0.03'. t = 5000 Simplifying t = 5000
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