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Simplifying 9(T + -1) + 18T = 6(T + 2) Reorder the terms: 9(-1 + T) + 18T = 6(T + 2) (-1 * 9 + T * 9) + 18T = 6(T + 2) (-9 + 9T) + 18T = 6(T + 2) Combine like terms: 9T + 18T = 27T -9 + 27T = 6(T + 2) Reorder the terms: -9 + 27T = 6(2 + T) -9 + 27T = (2 * 6 + T * 6) -9 + 27T = (12 + 6T) Solving -9 + 27T = 12 + 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. -9 + 27T + -6T = 12 + 6T + -6T Combine like terms: 27T + -6T = 21T -9 + 21T = 12 + 6T + -6T Combine like terms: 6T + -6T = 0 -9 + 21T = 12 + 0 -9 + 21T = 12 Add '9' to each side of the equation. -9 + 9 + 21T = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 21T = 12 + 9 21T = 12 + 9 Combine like terms: 12 + 9 = 21 21T = 21 Divide each side by '21'. T = 1 Simplifying T = 1
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