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Simplifying t + 8 = 2 + -3t Reorder the terms: 8 + t = 2 + -3t Solving 8 + t = 2 + -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. 8 + t + 3t = 2 + -3t + 3t Combine like terms: t + 3t = 4t 8 + 4t = 2 + -3t + 3t Combine like terms: -3t + 3t = 0 8 + 4t = 2 + 0 8 + 4t = 2 Add '-8' to each side of the equation. 8 + -8 + 4t = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 4t = 2 + -8 4t = 2 + -8 Combine like terms: 2 + -8 = -6 4t = -6 Divide each side by '4'. t = -1.5 Simplifying t = -1.5
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