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Simplifying 3t + 5 = -2t + 1 Reorder the terms: 5 + 3t = -2t + 1 Reorder the terms: 5 + 3t = 1 + -2t Solving 5 + 3t = 1 + -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. 5 + 3t + 2t = 1 + -2t + 2t Combine like terms: 3t + 2t = 5t 5 + 5t = 1 + -2t + 2t Combine like terms: -2t + 2t = 0 5 + 5t = 1 + 0 5 + 5t = 1 Add '-5' to each side of the equation. 5 + -5 + 5t = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 5t = 1 + -5 5t = 1 + -5 Combine like terms: 1 + -5 = -4 5t = -4 Divide each side by '5'. t = -0.8 Simplifying t = -0.8
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