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Simplifying 0.5t + 0.9(20 + -1t) = 13.6 0.5t + (20 * 0.9 + -1t * 0.9) = 13.6 0.5t + (18 + -0.9t) = 13.6 Reorder the terms: 18 + 0.5t + -0.9t = 13.6 Combine like terms: 0.5t + -0.9t = -0.4t 18 + -0.4t = 13.6 Solving 18 + -0.4t = 13.6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -0.4t = 13.6 + -18 Combine like terms: 18 + -18 = 0 0 + -0.4t = 13.6 + -18 -0.4t = 13.6 + -18 Combine like terms: 13.6 + -18 = -4.4 -0.4t = -4.4 Divide each side by '-0.4'. t = 11 Simplifying t = 11
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