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