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Simplifying -6 + -2t + 8 = 5 + -3t Reorder the terms: -6 + 8 + -2t = 5 + -3t Combine like terms: -6 + 8 = 2 2 + -2t = 5 + -3t Solving 2 + -2t = 5 + -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. 2 + -2t + 3t = 5 + -3t + 3t Combine like terms: -2t + 3t = 1t 2 + 1t = 5 + -3t + 3t Combine like terms: -3t + 3t = 0 2 + 1t = 5 + 0 2 + 1t = 5 Add '-2' to each side of the equation. 2 + -2 + 1t = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 1t = 5 + -2 1t = 5 + -2 Combine like terms: 5 + -2 = 3 1t = 3 Divide each side by '1'. t = 3 Simplifying t = 3
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