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Simplifying 3t + 26 = 12t + -46 Reorder the terms: 26 + 3t = 12t + -46 Reorder the terms: 26 + 3t = -46 + 12t Solving 26 + 3t = -46 + 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. 26 + 3t + -12t = -46 + 12t + -12t Combine like terms: 3t + -12t = -9t 26 + -9t = -46 + 12t + -12t Combine like terms: 12t + -12t = 0 26 + -9t = -46 + 0 26 + -9t = -46 Add '-26' to each side of the equation. 26 + -26 + -9t = -46 + -26 Combine like terms: 26 + -26 = 0 0 + -9t = -46 + -26 -9t = -46 + -26 Combine like terms: -46 + -26 = -72 -9t = -72 Divide each side by '-9'. t = 8 Simplifying t = 8
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