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Simplifying 5t + 1 = 2t + -8 Reorder the terms: 1 + 5t = 2t + -8 Reorder the terms: 1 + 5t = -8 + 2t Solving 1 + 5t = -8 + 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 + 5t + -2t = -8 + 2t + -2t Combine like terms: 5t + -2t = 3t 1 + 3t = -8 + 2t + -2t Combine like terms: 2t + -2t = 0 1 + 3t = -8 + 0 1 + 3t = -8 Add '-1' to each side of the equation. 1 + -1 + 3t = -8 + -1 Combine like terms: 1 + -1 = 0 0 + 3t = -8 + -1 3t = -8 + -1 Combine like terms: -8 + -1 = -9 3t = -9 Divide each side by '3'. t = -3 Simplifying t = -3
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