3k-5(1-2k)=23-k

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Solution for 3k-5(1-2k)=23-k equation: 


Simplifying
3k + -5(1 + -2k) = 23 + -1k
3k + (1 * -5 + -2k * -5) = 23 + -1k
3k + (-5 + 10k) = 23 + -1k

Reorder the terms:
-5 + 3k + 10k = 23 + -1k

Combine like terms: 3k + 10k = 13k
-5 + 13k = 23 + -1k

Solving
-5 + 13k = 23 + -1k

Solving for variable 'k'.

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

Add 'k' to each side of the equation.
-5 + 13k + k = 23 + -1k + k

Combine like terms: 13k + k = 14k
-5 + 14k = 23 + -1k + k

Combine like terms: -1k + k = 0
-5 + 14k = 23 + 0
-5 + 14k = 23

Add '5' to each side of the equation.
-5 + 5 + 14k = 23 + 5

Combine like terms: -5 + 5 = 0
0 + 14k = 23 + 5
14k = 23 + 5

Combine like terms: 23 + 5 = 28
14k = 28

Divide each side by '14'.
k = 2

Simplifying
k = 2

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