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Simplifying 3(-10t + 20) = -19t + -20 + 5t Reorder the terms: 3(20 + -10t) = -19t + -20 + 5t (20 * 3 + -10t * 3) = -19t + -20 + 5t (60 + -30t) = -19t + -20 + 5t Reorder the terms: 60 + -30t = -20 + -19t + 5t Combine like terms: -19t + 5t = -14t 60 + -30t = -20 + -14t Solving 60 + -30t = -20 + -14t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '14t' to each side of the equation. 60 + -30t + 14t = -20 + -14t + 14t Combine like terms: -30t + 14t = -16t 60 + -16t = -20 + -14t + 14t Combine like terms: -14t + 14t = 0 60 + -16t = -20 + 0 60 + -16t = -20 Add '-60' to each side of the equation. 60 + -60 + -16t = -20 + -60 Combine like terms: 60 + -60 = 0 0 + -16t = -20 + -60 -16t = -20 + -60 Combine like terms: -20 + -60 = -80 -16t = -80 Divide each side by '-16'. t = 5 Simplifying t = 5
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