T-5+7+2k-3k=k-8

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Solution for T-5+7+2k-3k=k-8 equation: 


Simplifying
T + -5 + 7 + 2k + -3k = k + -8

Reorder the terms:
-5 + 7 + T + 2k + -3k = k + -8

Combine like terms: -5 + 7 = 2
2 + T + 2k + -3k = k + -8

Combine like terms: 2k + -3k = -1k
2 + T + -1k = k + -8

Reorder the terms:
2 + T + -1k = -8 + k

Solving
2 + T + -1k = -8 + k

Solving for variable 'T'.

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

Add '-2' to each side of the equation.
2 + T + -2 + -1k = -8 + -2 + k

Reorder the terms:
2 + -2 + T + -1k = -8 + -2 + k

Combine like terms: 2 + -2 = 0
0 + T + -1k = -8 + -2 + k
T + -1k = -8 + -2 + k

Combine like terms: -8 + -2 = -10
T + -1k = -10 + k

Add 'k' to each side of the equation.
T + -1k + k = -10 + k + k

Combine like terms: -1k + k = 0
T + 0 = -10 + k + k
T = -10 + k + k

Combine like terms: k + k = 2k
T = -10 + 2k

Simplifying
T = -10 + 2k

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