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Simplifying 0.95t + 0.05(100 + -1t) = 0.27(100) 0.95t + (100 * 0.05 + -1t * 0.05) = 0.27(100) 0.95t + (5 + -0.05t) = 0.27(100) Reorder the terms: 5 + 0.95t + -0.05t = 0.27(100) Combine like terms: 0.95t + -0.05t = 0.9t 5 + 0.9t = 0.27(100) Multiply 0.27 * 100 5 + 0.9t = 27 Solving 5 + 0.9t = 27 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 0.9t = 27 + -5 Combine like terms: 5 + -5 = 0 0 + 0.9t = 27 + -5 0.9t = 27 + -5 Combine like terms: 27 + -5 = 22 0.9t = 22 Divide each side by '0.9'. t = 24.44444444 Simplifying t = 24.44444444
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