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Simplifying 14 + -3(5t + -12) = -1(20 + 1) Reorder the terms: 14 + -3(-12 + 5t) = -1(20 + 1) 14 + (-12 * -3 + 5t * -3) = -1(20 + 1) 14 + (36 + -15t) = -1(20 + 1) Combine like terms: 14 + 36 = 50 50 + -15t = -1(20 + 1) Combine like terms: 20 + 1 = 21 50 + -15t = -1(21) Multiply -1 * 21 50 + -15t = -21 Solving 50 + -15t = -21 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -15t = -21 + -50 Combine like terms: 50 + -50 = 0 0 + -15t = -21 + -50 -15t = -21 + -50 Combine like terms: -21 + -50 = -71 -15t = -71 Divide each side by '-15'. t = 4.733333333 Simplifying t = 4.733333333
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