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Simplifying -6(T + -7) + -1(T + -7) = 5 Reorder the terms: -6(-7 + T) + -1(T + -7) = 5 (-7 * -6 + T * -6) + -1(T + -7) = 5 (42 + -6T) + -1(T + -7) = 5 Reorder the terms: 42 + -6T + -1(-7 + T) = 5 42 + -6T + (-7 * -1 + T * -1) = 5 42 + -6T + (7 + -1T) = 5 Reorder the terms: 42 + 7 + -6T + -1T = 5 Combine like terms: 42 + 7 = 49 49 + -6T + -1T = 5 Combine like terms: -6T + -1T = -7T 49 + -7T = 5 Solving 49 + -7T = 5 Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -7T = 5 + -49 Combine like terms: 49 + -49 = 0 0 + -7T = 5 + -49 -7T = 5 + -49 Combine like terms: 5 + -49 = -44 -7T = -44 Divide each side by '-7'. T = 6.285714286 Simplifying T = 6.285714286
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