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Simplifying -5(3T + -4) + 7T = 5T + -2 Reorder the terms: -5(-4 + 3T) + 7T = 5T + -2 (-4 * -5 + 3T * -5) + 7T = 5T + -2 (20 + -15T) + 7T = 5T + -2 Combine like terms: -15T + 7T = -8T 20 + -8T = 5T + -2 Reorder the terms: 20 + -8T = -2 + 5T Solving 20 + -8T = -2 + 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. 20 + -8T + -5T = -2 + 5T + -5T Combine like terms: -8T + -5T = -13T 20 + -13T = -2 + 5T + -5T Combine like terms: 5T + -5T = 0 20 + -13T = -2 + 0 20 + -13T = -2 Add '-20' to each side of the equation. 20 + -20 + -13T = -2 + -20 Combine like terms: 20 + -20 = 0 0 + -13T = -2 + -20 -13T = -2 + -20 Combine like terms: -2 + -20 = -22 -13T = -22 Divide each side by '-13'. T = 1.692307692 Simplifying T = 1.692307692
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