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