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Simplifying 3t + 24 = 8t + -16 Reorder the terms: 24 + 3t = 8t + -16 Reorder the terms: 24 + 3t = -16 + 8t Solving 24 + 3t = -16 + 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. 24 + 3t + -8t = -16 + 8t + -8t Combine like terms: 3t + -8t = -5t 24 + -5t = -16 + 8t + -8t Combine like terms: 8t + -8t = 0 24 + -5t = -16 + 0 24 + -5t = -16 Add '-24' to each side of the equation. 24 + -24 + -5t = -16 + -24 Combine like terms: 24 + -24 = 0 0 + -5t = -16 + -24 -5t = -16 + -24 Combine like terms: -16 + -24 = -40 -5t = -40 Divide each side by '-5'. t = 8 Simplifying t = 8
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