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Simplifying 8(2t + 5) = 4(3t + 8) Reorder the terms: 8(5 + 2t) = 4(3t + 8) (5 * 8 + 2t * 8) = 4(3t + 8) (40 + 16t) = 4(3t + 8) Reorder the terms: 40 + 16t = 4(8 + 3t) 40 + 16t = (8 * 4 + 3t * 4) 40 + 16t = (32 + 12t) Solving 40 + 16t = 32 + 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. 40 + 16t + -12t = 32 + 12t + -12t Combine like terms: 16t + -12t = 4t 40 + 4t = 32 + 12t + -12t Combine like terms: 12t + -12t = 0 40 + 4t = 32 + 0 40 + 4t = 32 Add '-40' to each side of the equation. 40 + -40 + 4t = 32 + -40 Combine like terms: 40 + -40 = 0 0 + 4t = 32 + -40 4t = 32 + -40 Combine like terms: 32 + -40 = -8 4t = -8 Divide each side by '4'. t = -2 Simplifying t = -2
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