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Simplifying 142 + 10t = 46 + 22t Solving 142 + 10t = 46 + 22t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-22t' to each side of the equation. 142 + 10t + -22t = 46 + 22t + -22t Combine like terms: 10t + -22t = -12t 142 + -12t = 46 + 22t + -22t Combine like terms: 22t + -22t = 0 142 + -12t = 46 + 0 142 + -12t = 46 Add '-142' to each side of the equation. 142 + -142 + -12t = 46 + -142 Combine like terms: 142 + -142 = 0 0 + -12t = 46 + -142 -12t = 46 + -142 Combine like terms: 46 + -142 = -96 -12t = -96 Divide each side by '-12'. t = 8 Simplifying t = 8
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