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