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