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Simplifying 14 + -3(5t + -12) = 1 + -1(29t + 1) Reorder the terms: 14 + -3(-12 + 5t) = 1 + -1(29t + 1) 14 + (-12 * -3 + 5t * -3) = 1 + -1(29t + 1) 14 + (36 + -15t) = 1 + -1(29t + 1) Combine like terms: 14 + 36 = 50 50 + -15t = 1 + -1(29t + 1) Reorder the terms: 50 + -15t = 1 + -1(1 + 29t) 50 + -15t = 1 + (1 * -1 + 29t * -1) 50 + -15t = 1 + (-1 + -29t) Combine like terms: 1 + -1 = 0 50 + -15t = 0 + -29t 50 + -15t = -29t Solving 50 + -15t = -29t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '29t' to each side of the equation. 50 + -15t + 29t = -29t + 29t Combine like terms: -15t + 29t = 14t 50 + 14t = -29t + 29t Combine like terms: -29t + 29t = 0 50 + 14t = 0 Add '-50' to each side of the equation. 50 + -50 + 14t = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 14t = 0 + -50 14t = 0 + -50 Combine like terms: 0 + -50 = -50 14t = -50 Divide each side by '14'. t = -3.571428571 Simplifying t = -3.571428571
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