-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 = 19
19 + -3k + -1k = -23

Combine like terms: -3k + -1k = -4k
19 + -4k = -23

Solving
19 + -4k = -23

Solving for variable 'k'.

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

Add '-19' to each side of the equation.
19 + -19 + -4k = -23 + -19

Combine like terms: 19 + -19 = 0
0 + -4k = -23 + -19
-4k = -23 + -19

Combine like terms: -23 + -19 = -42
-4k = -42

Divide each side by '-4'.
k = 10.5

Simplifying
k = 10.5

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