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Simplifying -4(2T + -5) + 2T = 7T + -9 Reorder the terms: -4(-5 + 2T) + 2T = 7T + -9 (-5 * -4 + 2T * -4) + 2T = 7T + -9 (20 + -8T) + 2T = 7T + -9 Combine like terms: -8T + 2T = -6T 20 + -6T = 7T + -9 Reorder the terms: 20 + -6T = -9 + 7T Solving 20 + -6T = -9 + 7T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-7T' to each side of the equation. 20 + -6T + -7T = -9 + 7T + -7T Combine like terms: -6T + -7T = -13T 20 + -13T = -9 + 7T + -7T Combine like terms: 7T + -7T = 0 20 + -13T = -9 + 0 20 + -13T = -9 Add '-20' to each side of the equation. 20 + -20 + -13T = -9 + -20 Combine like terms: 20 + -20 = 0 0 + -13T = -9 + -20 -13T = -9 + -20 Combine like terms: -9 + -20 = -29 -13T = -29 Divide each side by '-13'. T = 2.230769231 Simplifying T = 2.230769231
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