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Simplifying 3(18t + 8) = 6(5t + 16) Reorder the terms: 3(8 + 18t) = 6(5t + 16) (8 * 3 + 18t * 3) = 6(5t + 16) (24 + 54t) = 6(5t + 16) Reorder the terms: 24 + 54t = 6(16 + 5t) 24 + 54t = (16 * 6 + 5t * 6) 24 + 54t = (96 + 30t) Solving 24 + 54t = 96 + 30t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-30t' to each side of the equation. 24 + 54t + -30t = 96 + 30t + -30t Combine like terms: 54t + -30t = 24t 24 + 24t = 96 + 30t + -30t Combine like terms: 30t + -30t = 0 24 + 24t = 96 + 0 24 + 24t = 96 Add '-24' to each side of the equation. 24 + -24 + 24t = 96 + -24 Combine like terms: 24 + -24 = 0 0 + 24t = 96 + -24 24t = 96 + -24 Combine like terms: 96 + -24 = 72 24t = 72 Divide each side by '24'. t = 3 Simplifying t = 3
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