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Simplifying 0.20(14000) + 0.14t = 0.18(14000 + t) Multiply 0.20 * 14000 2800 + 0.14t = 0.18(14000 + t) 2800 + 0.14t = (14000 * 0.18 + t * 0.18) 2800 + 0.14t = (2520 + 0.18t) Solving 2800 + 0.14t = 2520 + 0.18t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.18t' to each side of the equation. 2800 + 0.14t + -0.18t = 2520 + 0.18t + -0.18t Combine like terms: 0.14t + -0.18t = -0.04t 2800 + -0.04t = 2520 + 0.18t + -0.18t Combine like terms: 0.18t + -0.18t = 0.00 2800 + -0.04t = 2520 + 0.00 2800 + -0.04t = 2520 Add '-2800' to each side of the equation. 2800 + -2800 + -0.04t = 2520 + -2800 Combine like terms: 2800 + -2800 = 0 0 + -0.04t = 2520 + -2800 -0.04t = 2520 + -2800 Combine like terms: 2520 + -2800 = -280 -0.04t = -280 Divide each side by '-0.04'. t = 7000 Simplifying t = 7000
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