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Simplifying 2(28t + 20) = 8(2t + 40) Reorder the terms: 2(20 + 28t) = 8(2t + 40) (20 * 2 + 28t * 2) = 8(2t + 40) (40 + 56t) = 8(2t + 40) Reorder the terms: 40 + 56t = 8(40 + 2t) 40 + 56t = (40 * 8 + 2t * 8) 40 + 56t = (320 + 16t) Solving 40 + 56t = 320 + 16t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-16t' to each side of the equation. 40 + 56t + -16t = 320 + 16t + -16t Combine like terms: 56t + -16t = 40t 40 + 40t = 320 + 16t + -16t Combine like terms: 16t + -16t = 0 40 + 40t = 320 + 0 40 + 40t = 320 Add '-40' to each side of the equation. 40 + -40 + 40t = 320 + -40 Combine like terms: 40 + -40 = 0 0 + 40t = 320 + -40 40t = 320 + -40 Combine like terms: 320 + -40 = 280 40t = 280 Divide each side by '40'. t = 7 Simplifying t = 7
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