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Simplifying 0.05t + 0.1(100 + -1t) = 6.5 0.05t + (100 * 0.1 + -1t * 0.1) = 6.5 0.05t + (10 + -0.1t) = 6.5 Reorder the terms: 10 + 0.05t + -0.1t = 6.5 Combine like terms: 0.05t + -0.1t = -0.05t 10 + -0.05t = 6.5 Solving 10 + -0.05t = 6.5 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 = 6.5 + -10 Combine like terms: 10 + -10 = 0 0 + -0.05t = 6.5 + -10 -0.05t = 6.5 + -10 Combine like terms: 6.5 + -10 = -3.5 -0.05t = -3.5 Divide each side by '-0.05'. t = 70 Simplifying t = 70
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