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Simplifying (t + 7)(T + 1) = 16 Reorder the terms: (7 + t)(T + 1) = 16 Reorder the terms: (7 + t)(1 + T) = 16 Multiply (7 + t) * (1 + T) (7(1 + T) + t(1 + T)) = 16 ((1 * 7 + T * 7) + t(1 + T)) = 16 ((7 + 7T) + t(1 + T)) = 16 (7 + 7T + (1 * t + T * t)) = 16 (7 + 7T + (1t + tT)) = 16 (7 + 7T + 1t + tT) = 16 Solving 7 + 7T + 1t + tT = 16 Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 7T + 1t + -7 + tT = 16 + -7 Reorder the terms: 7 + -7 + 7T + 1t + tT = 16 + -7 Combine like terms: 7 + -7 = 0 0 + 7T + 1t + tT = 16 + -7 7T + 1t + tT = 16 + -7 Combine like terms: 16 + -7 = 9 7T + 1t + tT = 9 Add '-1t' to each side of the equation. 7T + 1t + -1t + tT = 9 + -1t Combine like terms: 1t + -1t = 0 7T + 0 + tT = 9 + -1t 7T + tT = 9 + -1t Reorder the terms: -9 + 7T + t + tT = 9 + -1t + -9 + t Reorder the terms: -9 + 7T + t + tT = 9 + -9 + -1t + t Combine like terms: 9 + -9 = 0 -9 + 7T + t + tT = 0 + -1t + t -9 + 7T + t + tT = -1t + t Combine like terms: -1t + t = 0 -9 + 7T + t + tT = 0 The solution to this equation could not be determined.
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