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Simplifying -5(3T + -5) + 2T = 6T + -5 Reorder the terms: -5(-5 + 3T) + 2T = 6T + -5 (-5 * -5 + 3T * -5) + 2T = 6T + -5 (25 + -15T) + 2T = 6T + -5 Combine like terms: -15T + 2T = -13T 25 + -13T = 6T + -5 Reorder the terms: 25 + -13T = -5 + 6T Solving 25 + -13T = -5 + 6T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-6T' to each side of the equation. 25 + -13T + -6T = -5 + 6T + -6T Combine like terms: -13T + -6T = -19T 25 + -19T = -5 + 6T + -6T Combine like terms: 6T + -6T = 0 25 + -19T = -5 + 0 25 + -19T = -5 Add '-25' to each side of the equation. 25 + -25 + -19T = -5 + -25 Combine like terms: 25 + -25 = 0 0 + -19T = -5 + -25 -19T = -5 + -25 Combine like terms: -5 + -25 = -30 -19T = -30 Divide each side by '-19'. T = 1.578947368 Simplifying T = 1.578947368
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