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