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Simplifying 12t + -2t + 10 = 9t + 12 Reorder the terms: 10 + 12t + -2t = 9t + 12 Combine like terms: 12t + -2t = 10t 10 + 10t = 9t + 12 Reorder the terms: 10 + 10t = 12 + 9t Solving 10 + 10t = 12 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 10 + 10t + -9t = 12 + 9t + -9t Combine like terms: 10t + -9t = 1t 10 + 1t = 12 + 9t + -9t Combine like terms: 9t + -9t = 0 10 + 1t = 12 + 0 10 + 1t = 12 Add '-10' to each side of the equation. 10 + -10 + 1t = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 1t = 12 + -10 1t = 12 + -10 Combine like terms: 12 + -10 = 2 1t = 2 Divide each side by '1'. t = 2 Simplifying t = 2
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