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Simplifying 6 + 19T + -5 = 8T + 33 + -5T Reorder the terms: 6 + -5 + 19T = 8T + 33 + -5T Combine like terms: 6 + -5 = 1 1 + 19T = 8T + 33 + -5T Reorder the terms: 1 + 19T = 33 + 8T + -5T Combine like terms: 8T + -5T = 3T 1 + 19T = 33 + 3T Solving 1 + 19T = 33 + 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. 1 + 19T + -3T = 33 + 3T + -3T Combine like terms: 19T + -3T = 16T 1 + 16T = 33 + 3T + -3T Combine like terms: 3T + -3T = 0 1 + 16T = 33 + 0 1 + 16T = 33 Add '-1' to each side of the equation. 1 + -1 + 16T = 33 + -1 Combine like terms: 1 + -1 = 0 0 + 16T = 33 + -1 16T = 33 + -1 Combine like terms: 33 + -1 = 32 16T = 32 Divide each side by '16'. T = 2 Simplifying T = 2
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