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Simplifying 0.05t + 0.1(100 + -1t) = 7 0.05t + (100 * 0.1 + -1t * 0.1) = 7 0.05t + (10 + -0.1t) = 7 Reorder the terms: 10 + 0.05t + -0.1t = 7 Combine like terms: 0.05t + -0.1t = -0.05t 10 + -0.05t = 7 Solving 10 + -0.05t = 7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -0.05t = 7 + -10 Combine like terms: 10 + -10 = 0 0 + -0.05t = 7 + -10 -0.05t = 7 + -10 Combine like terms: 7 + -10 = -3 -0.05t = -3 Divide each side by '-0.05'. t = 60 Simplifying t = 60
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