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Simplifying 0.11t + 0.12(100 + -1t) = 11.8 0.11t + (100 * 0.12 + -1t * 0.12) = 11.8 0.11t + (12 + -0.12t) = 11.8 Reorder the terms: 12 + 0.11t + -0.12t = 11.8 Combine like terms: 0.11t + -0.12t = -0.01t 12 + -0.01t = 11.8 Solving 12 + -0.01t = 11.8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -0.01t = 11.8 + -12 Combine like terms: 12 + -12 = 0 0 + -0.01t = 11.8 + -12 -0.01t = 11.8 + -12 Combine like terms: 11.8 + -12 = -0.2 -0.01t = -0.2 Divide each side by '-0.01'. t = 20 Simplifying t = 20
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