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Simplifying 8(2t + 4) = 3(24 + -8t) Reorder the terms: 8(4 + 2t) = 3(24 + -8t) (4 * 8 + 2t * 8) = 3(24 + -8t) (32 + 16t) = 3(24 + -8t) 32 + 16t = (24 * 3 + -8t * 3) 32 + 16t = (72 + -24t) Solving 32 + 16t = 72 + -24t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '24t' to each side of the equation. 32 + 16t + 24t = 72 + -24t + 24t Combine like terms: 16t + 24t = 40t 32 + 40t = 72 + -24t + 24t Combine like terms: -24t + 24t = 0 32 + 40t = 72 + 0 32 + 40t = 72 Add '-32' to each side of the equation. 32 + -32 + 40t = 72 + -32 Combine like terms: 32 + -32 = 0 0 + 40t = 72 + -32 40t = 72 + -32 Combine like terms: 72 + -32 = 40 40t = 40 Divide each side by '40'. t = 1 Simplifying t = 1
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