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Simplifying 0.07t + 0.11(t + 400) = 188 Reorder the terms: 0.07t + 0.11(400 + t) = 188 0.07t + (400 * 0.11 + t * 0.11) = 188 0.07t + (44 + 0.11t) = 188 Reorder the terms: 44 + 0.07t + 0.11t = 188 Combine like terms: 0.07t + 0.11t = 0.18t 44 + 0.18t = 188 Solving 44 + 0.18t = 188 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 0.18t = 188 + -44 Combine like terms: 44 + -44 = 0 0 + 0.18t = 188 + -44 0.18t = 188 + -44 Combine like terms: 188 + -44 = 144 0.18t = 144 Divide each side by '0.18'. t = 800 Simplifying t = 800
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