3(k-8)-(k+5)=23

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Solution for 3(k-8)-(k+5)=23 equation: 


Simplifying
3(k + -8) + -1(k + 5) = 23

Reorder the terms:
3(-8 + k) + -1(k + 5) = 23
(-8 * 3 + k * 3) + -1(k + 5) = 23
(-24 + 3k) + -1(k + 5) = 23

Reorder the terms:
-24 + 3k + -1(5 + k) = 23
-24 + 3k + (5 * -1 + k * -1) = 23
-24 + 3k + (-5 + -1k) = 23

Reorder the terms:
-24 + -5 + 3k + -1k = 23

Combine like terms: -24 + -5 = -29
-29 + 3k + -1k = 23

Combine like terms: 3k + -1k = 2k
-29 + 2k = 23

Solving
-29 + 2k = 23

Solving for variable 'k'.

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

Add '29' to each side of the equation.
-29 + 29 + 2k = 23 + 29

Combine like terms: -29 + 29 = 0
0 + 2k = 23 + 29
2k = 23 + 29

Combine like terms: 23 + 29 = 52
2k = 52

Divide each side by '2'.
k = 26

Simplifying
k = 26

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