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Simplifying 20 + 0.15t + 54 = 30 + 0.10t + 65 Reorder the terms: 20 + 54 + 0.15t = 30 + 0.10t + 65 Combine like terms: 20 + 54 = 74 74 + 0.15t = 30 + 0.10t + 65 Reorder the terms: 74 + 0.15t = 30 + 65 + 0.10t Combine like terms: 30 + 65 = 95 74 + 0.15t = 95 + 0.10t Solving 74 + 0.15t = 95 + 0.10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.10t' to each side of the equation. 74 + 0.15t + -0.10t = 95 + 0.10t + -0.10t Combine like terms: 0.15t + -0.10t = 0.05t 74 + 0.05t = 95 + 0.10t + -0.10t Combine like terms: 0.10t + -0.10t = 0.00 74 + 0.05t = 95 + 0.00 74 + 0.05t = 95 Add '-74' to each side of the equation. 74 + -74 + 0.05t = 95 + -74 Combine like terms: 74 + -74 = 0 0 + 0.05t = 95 + -74 0.05t = 95 + -74 Combine like terms: 95 + -74 = 21 0.05t = 21 Divide each side by '0.05'. t = 420 Simplifying t = 420
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