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Simplifying 40 + t(0.25) = 50 + t(0.15) Reorder the terms for easier multiplication: 40 + 0.25t = 50 + t(0.15) Reorder the terms for easier multiplication: 40 + 0.25t = 50 + 0.15t Solving 40 + 0.25t = 50 + 0.15t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.15t' to each side of the equation. 40 + 0.25t + -0.15t = 50 + 0.15t + -0.15t Combine like terms: 0.25t + -0.15t = 0.1t 40 + 0.1t = 50 + 0.15t + -0.15t Combine like terms: 0.15t + -0.15t = 0.00 40 + 0.1t = 50 + 0.00 40 + 0.1t = 50 Add '-40' to each side of the equation. 40 + -40 + 0.1t = 50 + -40 Combine like terms: 40 + -40 = 0 0 + 0.1t = 50 + -40 0.1t = 50 + -40 Combine like terms: 50 + -40 = 10 0.1t = 10 Divide each side by '0.1'. t = 100 Simplifying t = 100
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