8(k-1)=2k-38

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Solution for 8(k-1)=2k-38 equation:


Simplifying
8(k + -1) = 2k + -38

Reorder the terms:
8(-1 + k) = 2k + -38
(-1 * 8 + k * 8) = 2k + -38
(-8 + 8k) = 2k + -38

Reorder the terms:
-8 + 8k = -38 + 2k

Solving
-8 + 8k = -38 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
-8 + 8k + -2k = -38 + 2k + -2k

Combine like terms: 8k + -2k = 6k
-8 + 6k = -38 + 2k + -2k

Combine like terms: 2k + -2k = 0
-8 + 6k = -38 + 0
-8 + 6k = -38

Add '8' to each side of the equation.
-8 + 8 + 6k = -38 + 8

Combine like terms: -8 + 8 = 0
0 + 6k = -38 + 8
6k = -38 + 8

Combine like terms: -38 + 8 = -30
6k = -30

Divide each side by '6'.
k = -5

Simplifying
k = -5

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