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Simplifying 0.1t + 0.11(100 + -1t) = 10.5 0.1t + (100 * 0.11 + -1t * 0.11) = 10.5 0.1t + (11 + -0.11t) = 10.5 Reorder the terms: 11 + 0.1t + -0.11t = 10.5 Combine like terms: 0.1t + -0.11t = -0.01t 11 + -0.01t = 10.5 Solving 11 + -0.01t = 10.5 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -0.01t = 10.5 + -11 Combine like terms: 11 + -11 = 0 0 + -0.01t = 10.5 + -11 -0.01t = 10.5 + -11 Combine like terms: 10.5 + -11 = -0.5 -0.01t = -0.5 Divide each side by '-0.01'. t = 50 Simplifying t = 50
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