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Simplifying 0.85t + 0.15(10 + -1t) = 0.51(10) 0.85t + (10 * 0.15 + -1t * 0.15) = 0.51(10) 0.85t + (1.5 + -0.15t) = 0.51(10) Reorder the terms: 1.5 + 0.85t + -0.15t = 0.51(10) Combine like terms: 0.85t + -0.15t = 0.7t 1.5 + 0.7t = 0.51(10) Multiply 0.51 * 10 1.5 + 0.7t = 5.1 Solving 1.5 + 0.7t = 5.1 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + 0.7t = 5.1 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.7t = 5.1 + -1.5 0.7t = 5.1 + -1.5 Combine like terms: 5.1 + -1.5 = 3.6 0.7t = 3.6 Divide each side by '0.7'. t = 5.142857143 Simplifying t = 5.142857143
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