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Simplifying 5(2t + 1) + 4t = 10 + -1t Reorder the terms: 5(1 + 2t) + 4t = 10 + -1t (1 * 5 + 2t * 5) + 4t = 10 + -1t (5 + 10t) + 4t = 10 + -1t Combine like terms: 10t + 4t = 14t 5 + 14t = 10 + -1t Solving 5 + 14t = 10 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. 5 + 14t + t = 10 + -1t + t Combine like terms: 14t + t = 15t 5 + 15t = 10 + -1t + t Combine like terms: -1t + t = 0 5 + 15t = 10 + 0 5 + 15t = 10 Add '-5' to each side of the equation. 5 + -5 + 15t = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 15t = 10 + -5 15t = 10 + -5 Combine like terms: 10 + -5 = 5 15t = 5 Divide each side by '15'. t = 0.3333333333 Simplifying t = 0.3333333333
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