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Simplifying -6(T + -8) + -1(T + 9) = 5 Reorder the terms: -6(-8 + T) + -1(T + 9) = 5 (-8 * -6 + T * -6) + -1(T + 9) = 5 (48 + -6T) + -1(T + 9) = 5 Reorder the terms: 48 + -6T + -1(9 + T) = 5 48 + -6T + (9 * -1 + T * -1) = 5 48 + -6T + (-9 + -1T) = 5 Reorder the terms: 48 + -9 + -6T + -1T = 5 Combine like terms: 48 + -9 = 39 39 + -6T + -1T = 5 Combine like terms: -6T + -1T = -7T 39 + -7T = 5 Solving 39 + -7T = 5 Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + -7T = 5 + -39 Combine like terms: 39 + -39 = 0 0 + -7T = 5 + -39 -7T = 5 + -39 Combine like terms: 5 + -39 = -34 -7T = -34 Divide each side by '-7'. T = 4.857142857 Simplifying T = 4.857142857
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