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Simplifying 14 + -3(5t + -12) = 1 + -1(20 + t) Reorder the terms: 14 + -3(-12 + 5t) = 1 + -1(20 + t) 14 + (-12 * -3 + 5t * -3) = 1 + -1(20 + t) 14 + (36 + -15t) = 1 + -1(20 + t) Combine like terms: 14 + 36 = 50 50 + -15t = 1 + -1(20 + t) 50 + -15t = 1 + (20 * -1 + t * -1) 50 + -15t = 1 + (-20 + -1t) Combine like terms: 1 + -20 = -19 50 + -15t = -19 + -1t Solving 50 + -15t = -19 + -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. 50 + -15t + t = -19 + -1t + t Combine like terms: -15t + t = -14t 50 + -14t = -19 + -1t + t Combine like terms: -1t + t = 0 50 + -14t = -19 + 0 50 + -14t = -19 Add '-50' to each side of the equation. 50 + -50 + -14t = -19 + -50 Combine like terms: 50 + -50 = 0 0 + -14t = -19 + -50 -14t = -19 + -50 Combine like terms: -19 + -50 = -69 -14t = -69 Divide each side by '-14'. t = 4.928571429 Simplifying t = 4.928571429
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