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Simplifying 14 + -3(3t + -12) = 1 + -1(20t + 1) Reorder the terms: 14 + -3(-12 + 3t) = 1 + -1(20t + 1) 14 + (-12 * -3 + 3t * -3) = 1 + -1(20t + 1) 14 + (36 + -9t) = 1 + -1(20t + 1) Combine like terms: 14 + 36 = 50 50 + -9t = 1 + -1(20t + 1) Reorder the terms: 50 + -9t = 1 + -1(1 + 20t) 50 + -9t = 1 + (1 * -1 + 20t * -1) 50 + -9t = 1 + (-1 + -20t) Combine like terms: 1 + -1 = 0 50 + -9t = 0 + -20t 50 + -9t = -20t Solving 50 + -9t = -20t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '20t' to each side of the equation. 50 + -9t + 20t = -20t + 20t Combine like terms: -9t + 20t = 11t 50 + 11t = -20t + 20t Combine like terms: -20t + 20t = 0 50 + 11t = 0 Add '-50' to each side of the equation. 50 + -50 + 11t = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 11t = 0 + -50 11t = 0 + -50 Combine like terms: 0 + -50 = -50 11t = -50 Divide each side by '11'. t = -4.545454545 Simplifying t = -4.545454545
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