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Simplifying 12t + -5 = 8t + 13 Reorder the terms: -5 + 12t = 8t + 13 Reorder the terms: -5 + 12t = 13 + 8t Solving -5 + 12t = 13 + 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. -5 + 12t + -8t = 13 + 8t + -8t Combine like terms: 12t + -8t = 4t -5 + 4t = 13 + 8t + -8t Combine like terms: 8t + -8t = 0 -5 + 4t = 13 + 0 -5 + 4t = 13 Add '5' to each side of the equation. -5 + 5 + 4t = 13 + 5 Combine like terms: -5 + 5 = 0 0 + 4t = 13 + 5 4t = 13 + 5 Combine like terms: 13 + 5 = 18 4t = 18 Divide each side by '4'. t = 4.5 Simplifying t = 4.5
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