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Simplifying 6(3T + -8) + 2(3T + -6) = 0 Reorder the terms: 6(-8 + 3T) + 2(3T + -6) = 0 (-8 * 6 + 3T * 6) + 2(3T + -6) = 0 (-48 + 18T) + 2(3T + -6) = 0 Reorder the terms: -48 + 18T + 2(-6 + 3T) = 0 -48 + 18T + (-6 * 2 + 3T * 2) = 0 -48 + 18T + (-12 + 6T) = 0 Reorder the terms: -48 + -12 + 18T + 6T = 0 Combine like terms: -48 + -12 = -60 -60 + 18T + 6T = 0 Combine like terms: 18T + 6T = 24T -60 + 24T = 0 Solving -60 + 24T = 0 Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + 24T = 0 + 60 Combine like terms: -60 + 60 = 0 0 + 24T = 0 + 60 24T = 0 + 60 Combine like terms: 0 + 60 = 60 24T = 60 Divide each side by '24'. T = 2.5 Simplifying T = 2.5
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