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Simplifying 3t + -8 = 8t + 12 Reorder the terms: -8 + 3t = 8t + 12 Reorder the terms: -8 + 3t = 12 + 8t Solving -8 + 3t = 12 + 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. -8 + 3t + -8t = 12 + 8t + -8t Combine like terms: 3t + -8t = -5t -8 + -5t = 12 + 8t + -8t Combine like terms: 8t + -8t = 0 -8 + -5t = 12 + 0 -8 + -5t = 12 Add '8' to each side of the equation. -8 + 8 + -5t = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -5t = 12 + 8 -5t = 12 + 8 Combine like terms: 12 + 8 = 20 -5t = 20 Divide each side by '-5'. t = -4 Simplifying t = -4
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