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Simplifying 0.65t + 0.35(10 + -1t) = 0.39(10) 0.65t + (10 * 0.35 + -1t * 0.35) = 0.39(10) 0.65t + (3.5 + -0.35t) = 0.39(10) Reorder the terms: 3.5 + 0.65t + -0.35t = 0.39(10) Combine like terms: 0.65t + -0.35t = 0.3t 3.5 + 0.3t = 0.39(10) Multiply 0.39 * 10 3.5 + 0.3t = 3.9 Solving 3.5 + 0.3t = 3.9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + 0.3t = 3.9 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 0.3t = 3.9 + -3.5 0.3t = 3.9 + -3.5 Combine like terms: 3.9 + -3.5 = 0.4 0.3t = 0.4 Divide each side by '0.3'. t = 1.333333333 Simplifying t = 1.333333333
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