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Simplifying 3 + 3t + -2 = 4t + 9 + -2t Reorder the terms: 3 + -2 + 3t = 4t + 9 + -2t Combine like terms: 3 + -2 = 1 1 + 3t = 4t + 9 + -2t Reorder the terms: 1 + 3t = 9 + 4t + -2t Combine like terms: 4t + -2t = 2t 1 + 3t = 9 + 2t Solving 1 + 3t = 9 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 1 + 3t + -2t = 9 + 2t + -2t Combine like terms: 3t + -2t = 1t 1 + 1t = 9 + 2t + -2t Combine like terms: 2t + -2t = 0 1 + 1t = 9 + 0 1 + 1t = 9 Add '-1' to each side of the equation. 1 + -1 + 1t = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 1t = 9 + -1 1t = 9 + -1 Combine like terms: 9 + -1 = 8 1t = 8 Divide each side by '1'. t = 8 Simplifying t = 8
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