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Simplifying 0.65t + 0.35(100 + -1t) = 0.37(100) 0.65t + (100 * 0.35 + -1t * 0.35) = 0.37(100) 0.65t + (35 + -0.35t) = 0.37(100) Reorder the terms: 35 + 0.65t + -0.35t = 0.37(100) Combine like terms: 0.65t + -0.35t = 0.3t 35 + 0.3t = 0.37(100) Multiply 0.37 * 100 35 + 0.3t = 37 Solving 35 + 0.3t = 37 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 0.3t = 37 + -35 Combine like terms: 35 + -35 = 0 0 + 0.3t = 37 + -35 0.3t = 37 + -35 Combine like terms: 37 + -35 = 2 0.3t = 2 Divide each side by '0.3'. t = 6.666666667 Simplifying t = 6.666666667
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