k+38+6k=8(k+4)-2

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Solution for k+38+6k=8(k+4)-2 equation: 


Simplifying
k + 38 + 6k = 8(k + 4) + -2

Reorder the terms:
38 + k + 6k = 8(k + 4) + -2

Combine like terms: k + 6k = 7k
38 + 7k = 8(k + 4) + -2

Reorder the terms:
38 + 7k = 8(4 + k) + -2
38 + 7k = (4 * 8 + k * 8) + -2
38 + 7k = (32 + 8k) + -2

Reorder the terms:
38 + 7k = 32 + -2 + 8k

Combine like terms: 32 + -2 = 30
38 + 7k = 30 + 8k

Solving
38 + 7k = 30 + 8k

Solving for variable 'k'.

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

Add '-8k' to each side of the equation.
38 + 7k + -8k = 30 + 8k + -8k

Combine like terms: 7k + -8k = -1k
38 + -1k = 30 + 8k + -8k

Combine like terms: 8k + -8k = 0
38 + -1k = 30 + 0
38 + -1k = 30

Add '-38' to each side of the equation.
38 + -38 + -1k = 30 + -38

Combine like terms: 38 + -38 = 0
0 + -1k = 30 + -38
-1k = 30 + -38

Combine like terms: 30 + -38 = -8
-1k = -8

Divide each side by '-1'.
k = 8

Simplifying
k = 8

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