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Simplifying 3t + -8 = 5t + 2 Reorder the terms: -8 + 3t = 5t + 2 Reorder the terms: -8 + 3t = 2 + 5t Solving -8 + 3t = 2 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -8 + 3t + -5t = 2 + 5t + -5t Combine like terms: 3t + -5t = -2t -8 + -2t = 2 + 5t + -5t Combine like terms: 5t + -5t = 0 -8 + -2t = 2 + 0 -8 + -2t = 2 Add '8' to each side of the equation. -8 + 8 + -2t = 2 + 8 Combine like terms: -8 + 8 = 0 0 + -2t = 2 + 8 -2t = 2 + 8 Combine like terms: 2 + 8 = 10 -2t = 10 Divide each side by '-2'. t = -5 Simplifying t = -5
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