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Simplifying 2t + -8 = 42 + -3t Reorder the terms: -8 + 2t = 42 + -3t Solving -8 + 2t = 42 + -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 + 2t + 3t = 42 + -3t + 3t Combine like terms: 2t + 3t = 5t -8 + 5t = 42 + -3t + 3t Combine like terms: -3t + 3t = 0 -8 + 5t = 42 + 0 -8 + 5t = 42 Add '8' to each side of the equation. -8 + 8 + 5t = 42 + 8 Combine like terms: -8 + 8 = 0 0 + 5t = 42 + 8 5t = 42 + 8 Combine like terms: 42 + 8 = 50 5t = 50 Divide each side by '5'. t = 10 Simplifying t = 10
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