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Simplifying -6.8(4T + 6) + -1.2(3T + -5) = 0 Reorder the terms: -6.8(6 + 4T) + -1.2(3T + -5) = 0 (6 * -6.8 + 4T * -6.8) + -1.2(3T + -5) = 0 (-40.8 + -27.2T) + -1.2(3T + -5) = 0 Reorder the terms: -40.8 + -27.2T + -1.2(-5 + 3T) = 0 -40.8 + -27.2T + (-5 * -1.2 + 3T * -1.2) = 0 -40.8 + -27.2T + (6 + -3.6T) = 0 Reorder the terms: -40.8 + 6 + -27.2T + -3.6T = 0 Combine like terms: -40.8 + 6 = -34.8 -34.8 + -27.2T + -3.6T = 0 Combine like terms: -27.2T + -3.6T = -30.8T -34.8 + -30.8T = 0 Solving -34.8 + -30.8T = 0 Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '34.8' to each side of the equation. -34.8 + 34.8 + -30.8T = 0 + 34.8 Combine like terms: -34.8 + 34.8 = 0.0 0.0 + -30.8T = 0 + 34.8 -30.8T = 0 + 34.8 Combine like terms: 0 + 34.8 = 34.8 -30.8T = 34.8 Divide each side by '-30.8'. T = -1.12987013 Simplifying T = -1.12987013
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