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Simplifying -9t + -10 + 8t = -3t + 10 Reorder the terms: -10 + -9t + 8t = -3t + 10 Combine like terms: -9t + 8t = -1t -10 + -1t = -3t + 10 Reorder the terms: -10 + -1t = 10 + -3t Solving -10 + -1t = 10 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. -10 + -1t + 3t = 10 + -3t + 3t Combine like terms: -1t + 3t = 2t -10 + 2t = 10 + -3t + 3t Combine like terms: -3t + 3t = 0 -10 + 2t = 10 + 0 -10 + 2t = 10 Add '10' to each side of the equation. -10 + 10 + 2t = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 2t = 10 + 10 2t = 10 + 10 Combine like terms: 10 + 10 = 20 2t = 20 Divide each side by '2'. t = 10 Simplifying t = 10
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