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Simplifying 9(3T + -5) + -6(4 + -6T) = 0 Reorder the terms: 9(-5 + 3T) + -6(4 + -6T) = 0 (-5 * 9 + 3T * 9) + -6(4 + -6T) = 0 (-45 + 27T) + -6(4 + -6T) = 0 -45 + 27T + (4 * -6 + -6T * -6) = 0 -45 + 27T + (-24 + 36T) = 0 Reorder the terms: -45 + -24 + 27T + 36T = 0 Combine like terms: -45 + -24 = -69 -69 + 27T + 36T = 0 Combine like terms: 27T + 36T = 63T -69 + 63T = 0 Solving -69 + 63T = 0 Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '69' to each side of the equation. -69 + 69 + 63T = 0 + 69 Combine like terms: -69 + 69 = 0 0 + 63T = 0 + 69 63T = 0 + 69 Combine like terms: 0 + 69 = 69 63T = 69 Divide each side by '63'. T = 1.095238095 Simplifying T = 1.095238095
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