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Simplifying 12t + 2 = 4t + 20 + 4t + -12 Reorder the terms: 2 + 12t = 4t + 20 + 4t + -12 Reorder the terms: 2 + 12t = 20 + -12 + 4t + 4t Combine like terms: 20 + -12 = 8 2 + 12t = 8 + 4t + 4t Combine like terms: 4t + 4t = 8t 2 + 12t = 8 + 8t Solving 2 + 12t = 8 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 2 + 12t + -8t = 8 + 8t + -8t Combine like terms: 12t + -8t = 4t 2 + 4t = 8 + 8t + -8t Combine like terms: 8t + -8t = 0 2 + 4t = 8 + 0 2 + 4t = 8 Add '-2' to each side of the equation. 2 + -2 + 4t = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 4t = 8 + -2 4t = 8 + -2 Combine like terms: 8 + -2 = 6 4t = 6 Divide each side by '4'. t = 1.5 Simplifying t = 1.5
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