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Simplifying -3(T + -4) + 5T = 4T + -9 Reorder the terms: -3(-4 + T) + 5T = 4T + -9 (-4 * -3 + T * -3) + 5T = 4T + -9 (12 + -3T) + 5T = 4T + -9 Combine like terms: -3T + 5T = 2T 12 + 2T = 4T + -9 Reorder the terms: 12 + 2T = -9 + 4T Solving 12 + 2T = -9 + 4T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-4T' to each side of the equation. 12 + 2T + -4T = -9 + 4T + -4T Combine like terms: 2T + -4T = -2T 12 + -2T = -9 + 4T + -4T Combine like terms: 4T + -4T = 0 12 + -2T = -9 + 0 12 + -2T = -9 Add '-12' to each side of the equation. 12 + -12 + -2T = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -2T = -9 + -12 -2T = -9 + -12 Combine like terms: -9 + -12 = -21 -2T = -21 Divide each side by '-2'. T = 10.5 Simplifying T = 10.5
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