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Simplifying 4t + 2 = 12 + -1t Reorder the terms: 2 + 4t = 12 + -1t Solving 2 + 4t = 12 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. 2 + 4t + t = 12 + -1t + t Combine like terms: 4t + t = 5t 2 + 5t = 12 + -1t + t Combine like terms: -1t + t = 0 2 + 5t = 12 + 0 2 + 5t = 12 Add '-2' to each side of the equation. 2 + -2 + 5t = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 5t = 12 + -2 5t = 12 + -2 Combine like terms: 12 + -2 = 10 5t = 10 Divide each side by '5'. t = 2 Simplifying t = 2
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