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Simplifying 3t + 8 + 7t = 34 + 9t + -2 Reorder the terms: 8 + 3t + 7t = 34 + 9t + -2 Combine like terms: 3t + 7t = 10t 8 + 10t = 34 + 9t + -2 Reorder the terms: 8 + 10t = 34 + -2 + 9t Combine like terms: 34 + -2 = 32 8 + 10t = 32 + 9t Solving 8 + 10t = 32 + 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. 8 + 10t + -9t = 32 + 9t + -9t Combine like terms: 10t + -9t = 1t 8 + 1t = 32 + 9t + -9t Combine like terms: 9t + -9t = 0 8 + 1t = 32 + 0 8 + 1t = 32 Add '-8' to each side of the equation. 8 + -8 + 1t = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 1t = 32 + -8 1t = 32 + -8 Combine like terms: 32 + -8 = 24 1t = 24 Divide each side by '1'. t = 24 Simplifying t = 24
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