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Simplifying 3t + 12 = 2t + 14 Reorder the terms: 12 + 3t = 2t + 14 Reorder the terms: 12 + 3t = 14 + 2t Solving 12 + 3t = 14 + 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. 12 + 3t + -2t = 14 + 2t + -2t Combine like terms: 3t + -2t = 1t 12 + 1t = 14 + 2t + -2t Combine like terms: 2t + -2t = 0 12 + 1t = 14 + 0 12 + 1t = 14 Add '-12' to each side of the equation. 12 + -12 + 1t = 14 + -12 Combine like terms: 12 + -12 = 0 0 + 1t = 14 + -12 1t = 14 + -12 Combine like terms: 14 + -12 = 2 1t = 2 Divide each side by '1'. t = 2 Simplifying t = 2
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