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Simplifying 8t + -24 = 2t + 12 Reorder the terms: -24 + 8t = 2t + 12 Reorder the terms: -24 + 8t = 12 + 2t Solving -24 + 8t = 12 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -24 + 8t + -2t = 12 + 2t + -2t Combine like terms: 8t + -2t = 6t -24 + 6t = 12 + 2t + -2t Combine like terms: 2t + -2t = 0 -24 + 6t = 12 + 0 -24 + 6t = 12 Add '24' to each side of the equation. -24 + 24 + 6t = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 6t = 12 + 24 6t = 12 + 24 Combine like terms: 12 + 24 = 36 6t = 36 Divide each side by '6'. t = 6 Simplifying t = 6
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