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