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Simplifying -4(T + -7) + -1(T + 4) = 9 Reorder the terms: -4(-7 + T) + -1(T + 4) = 9 (-7 * -4 + T * -4) + -1(T + 4) = 9 (28 + -4T) + -1(T + 4) = 9 Reorder the terms: 28 + -4T + -1(4 + T) = 9 28 + -4T + (4 * -1 + T * -1) = 9 28 + -4T + (-4 + -1T) = 9 Reorder the terms: 28 + -4 + -4T + -1T = 9 Combine like terms: 28 + -4 = 24 24 + -4T + -1T = 9 Combine like terms: -4T + -1T = -5T 24 + -5T = 9 Solving 24 + -5T = 9 Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -5T = 9 + -24 Combine like terms: 24 + -24 = 0 0 + -5T = 9 + -24 -5T = 9 + -24 Combine like terms: 9 + -24 = -15 -5T = -15 Divide each side by '-5'. T = 3 Simplifying T = 3
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