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Simplifying 2t + 3 = 6 + 3t Reorder the terms: 3 + 2t = 6 + 3t Solving 3 + 2t = 6 + 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 = 6 + 3t + -3t Combine like terms: 2t + -3t = -1t 3 + -1t = 6 + 3t + -3t Combine like terms: 3t + -3t = 0 3 + -1t = 6 + 0 3 + -1t = 6 Add '-3' to each side of the equation. 3 + -3 + -1t = 6 + -3 Combine like terms: 3 + -3 = 0 0 + -1t = 6 + -3 -1t = 6 + -3 Combine like terms: 6 + -3 = 3 -1t = 3 Divide each side by '-1'. t = -3 Simplifying t = -3
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