(8k+2)-(2k+3)=0

Solution for (8k+2)-(2k+3)=0 equation:

Simplifying
(8k + 2) + -1(2k + 3) = 0

Reorder the terms:
(2 + 8k) + -1(2k + 3) = 0

Remove parenthesis around (2 + 8k)
2 + 8k + -1(2k + 3) = 0

Reorder the terms:
2 + 8k + -1(3 + 2k) = 0
2 + 8k + (3 * -1 + 2k * -1) = 0
2 + 8k + (-3 + -2k) = 0

Reorder the terms:
2 + -3 + 8k + -2k = 0

Combine like terms: 2 + -3 = -1
-1 + 8k + -2k = 0

Combine like terms: 8k + -2k = 6k
-1 + 6k = 0

Solving
-1 + 6k = 0

Solving for variable 'k'.

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

Add '1' to each side of the equation.
-1 + 1 + 6k = 0 + 1

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

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

Divide each side by '6'.
k = 0.1666666667

Simplifying
k = 0.1666666667