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Simplifying 0.05t + 0.9(100 + -1t) = 6.6 0.05t + (100 * 0.9 + -1t * 0.9) = 6.6 0.05t + (90 + -0.9t) = 6.6 Reorder the terms: 90 + 0.05t + -0.9t = 6.6 Combine like terms: 0.05t + -0.9t = -0.85t 90 + -0.85t = 6.6 Solving 90 + -0.85t = 6.6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + -0.85t = 6.6 + -90 Combine like terms: 90 + -90 = 0 0 + -0.85t = 6.6 + -90 -0.85t = 6.6 + -90 Combine like terms: 6.6 + -90 = -83.4 -0.85t = -83.4 Divide each side by '-0.85'. t = 98.11764706 Simplifying t = 98.11764706
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