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Simplifying 7(T + -2) = 2T + -9 Reorder the terms: 7(-2 + T) = 2T + -9 (-2 * 7 + T * 7) = 2T + -9 (-14 + 7T) = 2T + -9 Reorder the terms: -14 + 7T = -9 + 2T Solving -14 + 7T = -9 + 2T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-2T' to each side of the equation. -14 + 7T + -2T = -9 + 2T + -2T Combine like terms: 7T + -2T = 5T -14 + 5T = -9 + 2T + -2T Combine like terms: 2T + -2T = 0 -14 + 5T = -9 + 0 -14 + 5T = -9 Add '14' to each side of the equation. -14 + 14 + 5T = -9 + 14 Combine like terms: -14 + 14 = 0 0 + 5T = -9 + 14 5T = -9 + 14 Combine like terms: -9 + 14 = 5 5T = 5 Divide each side by '5'. T = 1 Simplifying T = 1
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