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Simplifying -3t + 9 + 8t = 3t + -3 Reorder the terms: 9 + -3t + 8t = 3t + -3 Combine like terms: -3t + 8t = 5t 9 + 5t = 3t + -3 Reorder the terms: 9 + 5t = -3 + 3t Solving 9 + 5t = -3 + 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. 9 + 5t + -3t = -3 + 3t + -3t Combine like terms: 5t + -3t = 2t 9 + 2t = -3 + 3t + -3t Combine like terms: 3t + -3t = 0 9 + 2t = -3 + 0 9 + 2t = -3 Add '-9' to each side of the equation. 9 + -9 + 2t = -3 + -9 Combine like terms: 9 + -9 = 0 0 + 2t = -3 + -9 2t = -3 + -9 Combine like terms: -3 + -9 = -12 2t = -12 Divide each side by '2'. t = -6 Simplifying t = -6
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