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Simplifying 3t + 7t + -9 = 8t + 9 Reorder the terms: -9 + 3t + 7t = 8t + 9 Combine like terms: 3t + 7t = 10t -9 + 10t = 8t + 9 Reorder the terms: -9 + 10t = 9 + 8t Solving -9 + 10t = 9 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. -9 + 10t + -8t = 9 + 8t + -8t Combine like terms: 10t + -8t = 2t -9 + 2t = 9 + 8t + -8t Combine like terms: 8t + -8t = 0 -9 + 2t = 9 + 0 -9 + 2t = 9 Add '9' to each side of the equation. -9 + 9 + 2t = 9 + 9 Combine like terms: -9 + 9 = 0 0 + 2t = 9 + 9 2t = 9 + 9 Combine like terms: 9 + 9 = 18 2t = 18 Divide each side by '2'. t = 9 Simplifying t = 9
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