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Simplifying 5 + 2t + -3 = 8t + 2 + -5t Reorder the terms: 5 + -3 + 2t = 8t + 2 + -5t Combine like terms: 5 + -3 = 2 2 + 2t = 8t + 2 + -5t Reorder the terms: 2 + 2t = 2 + 8t + -5t Combine like terms: 8t + -5t = 3t 2 + 2t = 2 + 3t Add '-2' to each side of the equation. 2 + -2 + 2t = 2 + -2 + 3t Combine like terms: 2 + -2 = 0 0 + 2t = 2 + -2 + 3t 2t = 2 + -2 + 3t Combine like terms: 2 + -2 = 0 2t = 0 + 3t 2t = 3t Solving 2t = 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. 2t + -3t = 3t + -3t Combine like terms: 2t + -3t = -1t -1t = 3t + -3t Combine like terms: 3t + -3t = 0 -1t = 0 Divide each side by '-1'. t = 0 Simplifying t = 0
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