6+4k=6(1+7k)

Solution for 6+4k=6(1+7k) equation:

Simplifying
6 + 4k = 6(1 + 7k)
6 + 4k = (1 * 6 + 7k * 6)
6 + 4k = (6 + 42k)

Add '-6' to each side of the equation.
6 + -6 + 4k = 6 + -6 + 42k

Combine like terms: 6 + -6 = 0
0 + 4k = 6 + -6 + 42k
4k = 6 + -6 + 42k

Combine like terms: 6 + -6 = 0
4k = 0 + 42k
4k = 42k

Solving
4k = 42k

Solving for variable 'k'.

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

Add '-42k' to each side of the equation.
4k + -42k = 42k + -42k

Combine like terms: 4k + -42k = -38k
-38k = 42k + -42k

Combine like terms: 42k + -42k = 0
-38k = 0

Divide each side by '-38'.
k = 0

Simplifying
k = 0