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Simplifying 0.35t + 0.65(100 + -1t) = 0.79(100) 0.35t + (100 * 0.65 + -1t * 0.65) = 0.79(100) 0.35t + (65 + -0.65t) = 0.79(100) Reorder the terms: 65 + 0.35t + -0.65t = 0.79(100) Combine like terms: 0.35t + -0.65t = -0.3t 65 + -0.3t = 0.79(100) Multiply 0.79 * 100 65 + -0.3t = 79 Solving 65 + -0.3t = 79 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + -0.3t = 79 + -65 Combine like terms: 65 + -65 = 0 0 + -0.3t = 79 + -65 -0.3t = 79 + -65 Combine like terms: 79 + -65 = 14 -0.3t = 14 Divide each side by '-0.3'. t = -46.66666667 Simplifying t = -46.66666667
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