-0.08(T-90)=0.09(T-7)

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Solution for -0.08(T-90)=0.09(T-7) equation: 


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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