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Simplifying 8(3t + 1) = 4(8t + 5) Reorder the terms: 8(1 + 3t) = 4(8t + 5) (1 * 8 + 3t * 8) = 4(8t + 5) (8 + 24t) = 4(8t + 5) Reorder the terms: 8 + 24t = 4(5 + 8t) 8 + 24t = (5 * 4 + 8t * 4) 8 + 24t = (20 + 32t) Solving 8 + 24t = 20 + 32t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-32t' to each side of the equation. 8 + 24t + -32t = 20 + 32t + -32t Combine like terms: 24t + -32t = -8t 8 + -8t = 20 + 32t + -32t Combine like terms: 32t + -32t = 0 8 + -8t = 20 + 0 8 + -8t = 20 Add '-8' to each side of the equation. 8 + -8 + -8t = 20 + -8 Combine like terms: 8 + -8 = 0 0 + -8t = 20 + -8 -8t = 20 + -8 Combine like terms: 20 + -8 = 12 -8t = 12 Divide each side by '-8'. t = -1.5 Simplifying t = -1.5
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