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Simplifying 5x2 + 3t + -4 = 2t + -1 Reorder the terms: -4 + 3t + 5x2 = 2t + -1 Reorder the terms: -4 + 3t + 5x2 = -1 + 2t Solving -4 + 3t + 5x2 = -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. -4 + 3t + -2t + 5x2 = -1 + 2t + -2t Combine like terms: 3t + -2t = 1t -4 + 1t + 5x2 = -1 + 2t + -2t Combine like terms: 2t + -2t = 0 -4 + 1t + 5x2 = -1 + 0 -4 + 1t + 5x2 = -1 Add '4' to each side of the equation. -4 + 1t + 4 + 5x2 = -1 + 4 Reorder the terms: -4 + 4 + 1t + 5x2 = -1 + 4 Combine like terms: -4 + 4 = 0 0 + 1t + 5x2 = -1 + 4 1t + 5x2 = -1 + 4 Combine like terms: -1 + 4 = 3 1t + 5x2 = 3 Add '-5x2' to each side of the equation. 1t + 5x2 + -5x2 = 3 + -5x2 Combine like terms: 5x2 + -5x2 = 0 1t + 0 = 3 + -5x2 1t = 3 + -5x2 Divide each side by '1'. t = 3 + -5x2 Simplifying t = 3 + -5x2
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