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Simplifying 8(3t + 1) = 4(11t + 8) Reorder the terms: 8(1 + 3t) = 4(11t + 8) (1 * 8 + 3t * 8) = 4(11t + 8) (8 + 24t) = 4(11t + 8) Reorder the terms: 8 + 24t = 4(8 + 11t) 8 + 24t = (8 * 4 + 11t * 4) 8 + 24t = (32 + 44t) Solving 8 + 24t = 32 + 44t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-44t' to each side of the equation. 8 + 24t + -44t = 32 + 44t + -44t Combine like terms: 24t + -44t = -20t 8 + -20t = 32 + 44t + -44t Combine like terms: 44t + -44t = 0 8 + -20t = 32 + 0 8 + -20t = 32 Add '-8' to each side of the equation. 8 + -8 + -20t = 32 + -8 Combine like terms: 8 + -8 = 0 0 + -20t = 32 + -8 -20t = 32 + -8 Combine like terms: 32 + -8 = 24 -20t = 24 Divide each side by '-20'. t = -1.2 Simplifying t = -1.2
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