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Simplifying -20 + 2(-20t + -20) = 3(-16t + 20) Reorder the terms: -20 + 2(-20 + -20t) = 3(-16t + 20) -20 + (-20 * 2 + -20t * 2) = 3(-16t + 20) -20 + (-40 + -40t) = 3(-16t + 20) Combine like terms: -20 + -40 = -60 -60 + -40t = 3(-16t + 20) Reorder the terms: -60 + -40t = 3(20 + -16t) -60 + -40t = (20 * 3 + -16t * 3) -60 + -40t = (60 + -48t) Solving -60 + -40t = 60 + -48t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '48t' to each side of the equation. -60 + -40t + 48t = 60 + -48t + 48t Combine like terms: -40t + 48t = 8t -60 + 8t = 60 + -48t + 48t Combine like terms: -48t + 48t = 0 -60 + 8t = 60 + 0 -60 + 8t = 60 Add '60' to each side of the equation. -60 + 60 + 8t = 60 + 60 Combine like terms: -60 + 60 = 0 0 + 8t = 60 + 60 8t = 60 + 60 Combine like terms: 60 + 60 = 120 8t = 120 Divide each side by '8'. t = 15 Simplifying t = 15
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