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Simplifying -5(3T + -5) + 8T = 4T + -3 Reorder the terms: -5(-5 + 3T) + 8T = 4T + -3 (-5 * -5 + 3T * -5) + 8T = 4T + -3 (25 + -15T) + 8T = 4T + -3 Combine like terms: -15T + 8T = -7T 25 + -7T = 4T + -3 Reorder the terms: 25 + -7T = -3 + 4T Solving 25 + -7T = -3 + 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. 25 + -7T + -4T = -3 + 4T + -4T Combine like terms: -7T + -4T = -11T 25 + -11T = -3 + 4T + -4T Combine like terms: 4T + -4T = 0 25 + -11T = -3 + 0 25 + -11T = -3 Add '-25' to each side of the equation. 25 + -25 + -11T = -3 + -25 Combine like terms: 25 + -25 = 0 0 + -11T = -3 + -25 -11T = -3 + -25 Combine like terms: -3 + -25 = -28 -11T = -28 Divide each side by '-11'. T = 2.545454545 Simplifying T = 2.545454545
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