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Simplifying 5t + -2 = 3t + 4 Reorder the terms: -2 + 5t = 3t + 4 Reorder the terms: -2 + 5t = 4 + 3t Solving -2 + 5t = 4 + 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. -2 + 5t + -3t = 4 + 3t + -3t Combine like terms: 5t + -3t = 2t -2 + 2t = 4 + 3t + -3t Combine like terms: 3t + -3t = 0 -2 + 2t = 4 + 0 -2 + 2t = 4 Add '2' to each side of the equation. -2 + 2 + 2t = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 2t = 4 + 2 2t = 4 + 2 Combine like terms: 4 + 2 = 6 2t = 6 Divide each side by '2'. t = 3 Simplifying t = 3
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