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Simplifying 20 + 0.15t = 30 + 10t + 0.10 Reorder the terms: 20 + 0.15t = 30 + 0.10 + 10t Combine like terms: 30 + 0.10 = 30.1 20 + 0.15t = 30.1 + 10t Solving 20 + 0.15t = 30.1 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. 20 + 0.15t + -10t = 30.1 + 10t + -10t Combine like terms: 0.15t + -10t = -9.85t 20 + -9.85t = 30.1 + 10t + -10t Combine like terms: 10t + -10t = 0 20 + -9.85t = 30.1 + 0 20 + -9.85t = 30.1 Add '-20' to each side of the equation. 20 + -20 + -9.85t = 30.1 + -20 Combine like terms: 20 + -20 = 0 0 + -9.85t = 30.1 + -20 -9.85t = 30.1 + -20 Combine like terms: 30.1 + -20 = 10.1 -9.85t = 10.1 Divide each side by '-9.85'. t = -1.025380711 Simplifying t = -1.025380711
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