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Simplifying 3t + -8 = -2t + 7 Reorder the terms: -8 + 3t = -2t + 7 Reorder the terms: -8 + 3t = 7 + -2t Solving -8 + 3t = 7 + -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. -8 + 3t + 2t = 7 + -2t + 2t Combine like terms: 3t + 2t = 5t -8 + 5t = 7 + -2t + 2t Combine like terms: -2t + 2t = 0 -8 + 5t = 7 + 0 -8 + 5t = 7 Add '8' to each side of the equation. -8 + 8 + 5t = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 5t = 7 + 8 5t = 7 + 8 Combine like terms: 7 + 8 = 15 5t = 15 Divide each side by '5'. t = 3 Simplifying t = 3
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