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Simplifying z + -5 + 5T + -6 = 12 Reorder the terms: -5 + -6 + 5T + z = 12 Combine like terms: -5 + -6 = -11 -11 + 5T + z = 12 Solving -11 + 5T + z = 12 Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 5T + 11 + z = 12 + 11 Reorder the terms: -11 + 11 + 5T + z = 12 + 11 Combine like terms: -11 + 11 = 0 0 + 5T + z = 12 + 11 5T + z = 12 + 11 Combine like terms: 12 + 11 = 23 5T + z = 23 Add '-1z' to each side of the equation. 5T + z + -1z = 23 + -1z Combine like terms: z + -1z = 0 5T + 0 = 23 + -1z 5T = 23 + -1z Divide each side by '5'. T = 4.6 + -0.2z Simplifying T = 4.6 + -0.2z
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