6(1+8k)+2k=(1+k)

Solution for 6(1+8k)+2k=(1+k) equation:

Simplifying
6(1 + 8k) + 2k = (1 + k)
(1 * 6 + 8k * 6) + 2k = (1 + k)
(6 + 48k) + 2k = (1 + k)

Combine like terms: 48k + 2k = 50k
6 + 50k = (1 + k)

Remove parenthesis around (1 + k)
6 + 50k = 1 + k

Solving
6 + 50k = 1 + k

Solving for variable 'k'.

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

Add '-1k' to each side of the equation.
6 + 50k + -1k = 1 + k + -1k

Combine like terms: 50k + -1k = 49k
6 + 49k = 1 + k + -1k

Combine like terms: k + -1k = 0
6 + 49k = 1 + 0
6 + 49k = 1

Add '-6' to each side of the equation.
6 + -6 + 49k = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 49k = 1 + -6
49k = 1 + -6

Combine like terms: 1 + -6 = -5
49k = -5

Divide each side by '49'.
k = -0.1020408163

Simplifying
k = -0.1020408163