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Simplifying -4(T + -4) + 7T = 5T + -3 Reorder the terms: -4(-4 + T) + 7T = 5T + -3 (-4 * -4 + T * -4) + 7T = 5T + -3 (16 + -4T) + 7T = 5T + -3 Combine like terms: -4T + 7T = 3T 16 + 3T = 5T + -3 Reorder the terms: 16 + 3T = -3 + 5T Solving 16 + 3T = -3 + 5T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-5T' to each side of the equation. 16 + 3T + -5T = -3 + 5T + -5T Combine like terms: 3T + -5T = -2T 16 + -2T = -3 + 5T + -5T Combine like terms: 5T + -5T = 0 16 + -2T = -3 + 0 16 + -2T = -3 Add '-16' to each side of the equation. 16 + -16 + -2T = -3 + -16 Combine like terms: 16 + -16 = 0 0 + -2T = -3 + -16 -2T = -3 + -16 Combine like terms: -3 + -16 = -19 -2T = -19 Divide each side by '-2'. T = 9.5 Simplifying T = 9.5
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