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Simplifying 5T + -6 = 3T + 12 Reorder the terms: -6 + 5T = 3T + 12 Reorder the terms: -6 + 5T = 12 + 3T Solving -6 + 5T = 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. -6 + 5T + -3T = 12 + 3T + -3T Combine like terms: 5T + -3T = 2T -6 + 2T = 12 + 3T + -3T Combine like terms: 3T + -3T = 0 -6 + 2T = 12 + 0 -6 + 2T = 12 Add '6' to each side of the equation. -6 + 6 + 2T = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 2T = 12 + 6 2T = 12 + 6 Combine like terms: 12 + 6 = 18 2T = 18 Divide each side by '2'. T = 9 Simplifying T = 9
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