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Simplifying -0.08(T + -90) = 0.09(T + -7) Reorder the terms: -0.08(-90 + T) = 0.09(T + -7) (-90 * -0.08 + T * -0.08) = 0.09(T + -7) (7.2 + -0.08T) = 0.09(T + -7) Reorder the terms: 7.2 + -0.08T = 0.09(-7 + T) 7.2 + -0.08T = (-7 * 0.09 + T * 0.09) 7.2 + -0.08T = (-0.63 + 0.09T) Solving 7.2 + -0.08T = -0.63 + 0.09T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-0.09T' to each side of the equation. 7.2 + -0.08T + -0.09T = -0.63 + 0.09T + -0.09T Combine like terms: -0.08T + -0.09T = -0.17T 7.2 + -0.17T = -0.63 + 0.09T + -0.09T Combine like terms: 0.09T + -0.09T = 0.00 7.2 + -0.17T = -0.63 + 0.00 7.2 + -0.17T = -0.63 Add '-7.2' to each side of the equation. 7.2 + -7.2 + -0.17T = -0.63 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + -0.17T = -0.63 + -7.2 -0.17T = -0.63 + -7.2 Combine like terms: -0.63 + -7.2 = -7.83 -0.17T = -7.83 Divide each side by '-0.17'. T = 46.05882353 Simplifying T = 46.05882353
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