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Simplifying 12t + -23 = 7t + 2 Reorder the terms: -23 + 12t = 7t + 2 Reorder the terms: -23 + 12t = 2 + 7t Solving -23 + 12t = 2 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. -23 + 12t + -7t = 2 + 7t + -7t Combine like terms: 12t + -7t = 5t -23 + 5t = 2 + 7t + -7t Combine like terms: 7t + -7t = 0 -23 + 5t = 2 + 0 -23 + 5t = 2 Add '23' to each side of the equation. -23 + 23 + 5t = 2 + 23 Combine like terms: -23 + 23 = 0 0 + 5t = 2 + 23 5t = 2 + 23 Combine like terms: 2 + 23 = 25 5t = 25 Divide each side by '5'. t = 5 Simplifying t = 5
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