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Simplifying 4t + 2 = 3t + 12 Reorder the terms: 2 + 4t = 3t + 12 Reorder the terms: 2 + 4t = 12 + 3t Solving 2 + 4t = 12 + 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. 2 + 4t + -3t = 12 + 3t + -3t Combine like terms: 4t + -3t = 1t 2 + 1t = 12 + 3t + -3t Combine like terms: 3t + -3t = 0 2 + 1t = 12 + 0 2 + 1t = 12 Add '-2' to each side of the equation. 2 + -2 + 1t = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 1t = 12 + -2 1t = 12 + -2 Combine like terms: 12 + -2 = 10 1t = 10 Divide each side by '1'. t = 10 Simplifying t = 10
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