2(4+2k)10=k

Solution for 2(4+2k)10=k equation:

Simplifying
2(4 + 2k) * 10 = k

Reorder the terms for easier multiplication:
2 * 10(4 + 2k) = k

Multiply 2 * 10
20(4 + 2k) = k
(4 * 20 + 2k * 20) = k
(80 + 40k) = k

Solving
80 + 40k = 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.
80 + 40k + -1k = k + -1k

Combine like terms: 40k + -1k = 39k
80 + 39k = k + -1k

Combine like terms: k + -1k = 0
80 + 39k = 0

Add '-80' to each side of the equation.
80 + -80 + 39k = 0 + -80

Combine like terms: 80 + -80 = 0
0 + 39k = 0 + -80
39k = 0 + -80

Combine like terms: 0 + -80 = -80
39k = -80

Divide each side by '39'.
k = -2.051282051

Simplifying
k = -2.051282051