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Simplifying 7(T + -3) = 6(T + 4) + -1T Reorder the terms: 7(-3 + T) = 6(T + 4) + -1T (-3 * 7 + T * 7) = 6(T + 4) + -1T (-21 + 7T) = 6(T + 4) + -1T Reorder the terms: -21 + 7T = 6(4 + T) + -1T -21 + 7T = (4 * 6 + T * 6) + -1T -21 + 7T = (24 + 6T) + -1T Combine like terms: 6T + -1T = 5T -21 + 7T = 24 + 5T Solving -21 + 7T = 24 + 5T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-5T' to each side of the equation. -21 + 7T + -5T = 24 + 5T + -5T Combine like terms: 7T + -5T = 2T -21 + 2T = 24 + 5T + -5T Combine like terms: 5T + -5T = 0 -21 + 2T = 24 + 0 -21 + 2T = 24 Add '21' to each side of the equation. -21 + 21 + 2T = 24 + 21 Combine like terms: -21 + 21 = 0 0 + 2T = 24 + 21 2T = 24 + 21 Combine like terms: 24 + 21 = 45 2T = 45 Divide each side by '2'. T = 22.5 Simplifying T = 22.5
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