T-(c+s)=c+s+I-(c+s)

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Solution for T-(c+s)=c+s+I-(c+s) equation: 


Simplifying
T + -1(c + s) = c + s + I + -1(c + s)
T + (c * -1 + s * -1) = c + s + I + -1(c + s)
T + (-1c + -1s) = c + s + I + -1(c + s)
T + -1c + -1s = c + s + I + (c * -1 + s * -1)
T + -1c + -1s = c + s + I + (-1c + -1s)

Reorder the terms:
T + -1c + -1s = I + c + -1c + s + -1s

Combine like terms: c + -1c = 0
T + -1c + -1s = I + 0 + s + -1s
T + -1c + -1s = I + s + -1s

Combine like terms: s + -1s = 0
T + -1c + -1s = I + 0
T + -1c + -1s = I

Solving
T + -1c + -1s = I

Solving for variable 'T'.

Move all terms containing T to the left, all other terms to the right.

Add 'c' to each side of the equation.
T + -1c + c + -1s = I + c

Combine like terms: -1c + c = 0
T + 0 + -1s = I + c
T + -1s = I + c

Add 's' to each side of the equation.
T + -1s + s = I + c + s

Combine like terms: -1s + s = 0
T + 0 = I + c + s
T = I + c + s

Simplifying
T = I + c + s

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