2k=ak+7fork

Solution for 2k=ak+7fork equation:

Simplifying
2k = ak + 7fork

Solving
2k = ak + 7fkor

Solving for variable 'k'.

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

Add '-1ak' to each side of the equation.
-1ak + 2k = ak + -1ak + 7fkor

Combine like terms: ak + -1ak = 0
-1ak + 2k = 0 + 7fkor
-1ak + 2k = 7fkor

Add '-7fkor' to each side of the equation.
-1ak + -7fkor + 2k = 7fkor + -7fkor

Combine like terms: 7fkor + -7fkor = 0
-1ak + -7fkor + 2k = 0

Factor out the Greatest Common Factor (GCF), 'k'.
k(-1a + -7for + 2) = 0

Subproblem 1
Set the factor 'k' equal to zero and attempt to solve:

Simplifying
k = 0

Solving
k = 0

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

Simplifying
k = 0
Subproblem 2
Set the factor '(-1a + -7for + 2)' equal to zero and attempt to solve:

Simplifying
-1a + -7for + 2 = 0

Reorder the terms:
2 + -1a + -7for = 0

Solving
2 + -1a + -7for = 0

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

Add '-2' to each side of the equation.
2 + -1a + -2 + -7for = 0 + -2

Reorder the terms:
2 + -2 + -1a + -7for = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1a + -7for = 0 + -2
-1a + -7for = 0 + -2

Combine like terms: 0 + -2 = -2
-1a + -7for = -2

Add 'a' to each side of the equation.
-1a + a + -7for = -2 + a

Combine like terms: -1a + a = 0
0 + -7for = -2 + a
-7for = -2 + a

Add '7for' to each side of the equation.
-7for + 7for = -2 + a + 7for

Combine like terms: -7for + 7for = 0
0 = -2 + a + 7for

Simplifying
0 = -2 + a + 7for

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
k = {0}