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Simplifying 5 + 12t + -1 = 8t + 46 + -2t Reorder the terms: 5 + -1 + 12t = 8t + 46 + -2t Combine like terms: 5 + -1 = 4 4 + 12t = 8t + 46 + -2t Reorder the terms: 4 + 12t = 46 + 8t + -2t Combine like terms: 8t + -2t = 6t 4 + 12t = 46 + 6t Solving 4 + 12t = 46 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 4 + 12t + -6t = 46 + 6t + -6t Combine like terms: 12t + -6t = 6t 4 + 6t = 46 + 6t + -6t Combine like terms: 6t + -6t = 0 4 + 6t = 46 + 0 4 + 6t = 46 Add '-4' to each side of the equation. 4 + -4 + 6t = 46 + -4 Combine like terms: 4 + -4 = 0 0 + 6t = 46 + -4 6t = 46 + -4 Combine like terms: 46 + -4 = 42 6t = 42 Divide each side by '6'. t = 7 Simplifying t = 7
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