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Simplifying 20 + -20t + 4t = -3(9t + 20) + -19 Combine like terms: -20t + 4t = -16t 20 + -16t = -3(9t + 20) + -19 Reorder the terms: 20 + -16t = -3(20 + 9t) + -19 20 + -16t = (20 * -3 + 9t * -3) + -19 20 + -16t = (-60 + -27t) + -19 Reorder the terms: 20 + -16t = -60 + -19 + -27t Combine like terms: -60 + -19 = -79 20 + -16t = -79 + -27t Solving 20 + -16t = -79 + -27t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '27t' to each side of the equation. 20 + -16t + 27t = -79 + -27t + 27t Combine like terms: -16t + 27t = 11t 20 + 11t = -79 + -27t + 27t Combine like terms: -27t + 27t = 0 20 + 11t = -79 + 0 20 + 11t = -79 Add '-20' to each side of the equation. 20 + -20 + 11t = -79 + -20 Combine like terms: 20 + -20 = 0 0 + 11t = -79 + -20 11t = -79 + -20 Combine like terms: -79 + -20 = -99 11t = -99 Divide each side by '11'. t = -9 Simplifying t = -9
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