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