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Simplifying 40(t + 0.5) = 50t Reorder the terms: 40(0.5 + t) = 50t (0.5 * 40 + t * 40) = 50t (20 + 40t) = 50t Solving 20 + 40t = 50t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-50t' to each side of the equation. 20 + 40t + -50t = 50t + -50t Combine like terms: 40t + -50t = -10t 20 + -10t = 50t + -50t Combine like terms: 50t + -50t = 0 20 + -10t = 0 Add '-20' to each side of the equation. 20 + -20 + -10t = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -10t = 0 + -20 -10t = 0 + -20 Combine like terms: 0 + -20 = -20 -10t = -20 Divide each side by '-10'. t = 2 Simplifying t = 2
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