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Simplifying 3t + -1 = 8t + 24 Reorder the terms: -1 + 3t = 8t + 24 Reorder the terms: -1 + 3t = 24 + 8t Solving -1 + 3t = 24 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. -1 + 3t + -8t = 24 + 8t + -8t Combine like terms: 3t + -8t = -5t -1 + -5t = 24 + 8t + -8t Combine like terms: 8t + -8t = 0 -1 + -5t = 24 + 0 -1 + -5t = 24 Add '1' to each side of the equation. -1 + 1 + -5t = 24 + 1 Combine like terms: -1 + 1 = 0 0 + -5t = 24 + 1 -5t = 24 + 1 Combine like terms: 24 + 1 = 25 -5t = 25 Divide each side by '-5'. t = -5 Simplifying t = -5
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