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Simplifying 0.85t + 0.15(100 + -1t) = 0.67(100) 0.85t + (100 * 0.15 + -1t * 0.15) = 0.67(100) 0.85t + (15 + -0.15t) = 0.67(100) Reorder the terms: 15 + 0.85t + -0.15t = 0.67(100) Combine like terms: 0.85t + -0.15t = 0.7t 15 + 0.7t = 0.67(100) Multiply 0.67 * 100 15 + 0.7t = 67 Solving 15 + 0.7t = 67 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 0.7t = 67 + -15 Combine like terms: 15 + -15 = 0 0 + 0.7t = 67 + -15 0.7t = 67 + -15 Combine like terms: 67 + -15 = 52 0.7t = 52 Divide each side by '0.7'. t = 74.28571429 Simplifying t = 74.28571429
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