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Simplifying 0.95 + 0.05(10 + -1t) = 0.51(10) 0.95 + (10 * 0.05 + -1t * 0.05) = 0.51(10) 0.95 + (0.5 + -0.05t) = 0.51(10) Combine like terms: 0.95 + 0.5 = 1.45 1.45 + -0.05t = 0.51(10) Multiply 0.51 * 10 1.45 + -0.05t = 5.1 Solving 1.45 + -0.05t = 5.1 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.45' to each side of the equation. 1.45 + -1.45 + -0.05t = 5.1 + -1.45 Combine like terms: 1.45 + -1.45 = 0.00 0.00 + -0.05t = 5.1 + -1.45 -0.05t = 5.1 + -1.45 Combine like terms: 5.1 + -1.45 = 3.65 -0.05t = 3.65 Divide each side by '-0.05'. t = -73 Simplifying t = -73
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