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Simplifying 0.08t + 0.11(t + 200) = 117 Reorder the terms: 0.08t + 0.11(200 + t) = 117 0.08t + (200 * 0.11 + t * 0.11) = 117 0.08t + (22 + 0.11t) = 117 Reorder the terms: 22 + 0.08t + 0.11t = 117 Combine like terms: 0.08t + 0.11t = 0.19t 22 + 0.19t = 117 Solving 22 + 0.19t = 117 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 0.19t = 117 + -22 Combine like terms: 22 + -22 = 0 0 + 0.19t = 117 + -22 0.19t = 117 + -22 Combine like terms: 117 + -22 = 95 0.19t = 95 Divide each side by '0.19'. t = 500 Simplifying t = 500
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