6=2w(k+b)-e

Solution for 6=2w(k+b)-e equation:

Simplifying
6 = 2w(k + b) + -1e

Reorder the terms:
6 = 2w(b + k) + -1e
6 = (b * 2w + k * 2w) + -1e
6 = (2bw + 2kw) + -1e

Reorder the terms:
6 = 2bw + -1e + 2kw

Solving
6 = 2bw + -1e + 2kw

Solving for variable 'b'.

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

Add '-2bw' to each side of the equation.
6 + -2bw = 2bw + -1e + -2bw + 2kw

Reorder the terms:
6 + -2bw = 2bw + -2bw + -1e + 2kw

Combine like terms: 2bw + -2bw = 0
6 + -2bw = 0 + -1e + 2kw
6 + -2bw = -1e + 2kw

Add '-6' to each side of the equation.
6 + -6 + -2bw = -1e + -6 + 2kw

Combine like terms: 6 + -6 = 0
0 + -2bw = -1e + -6 + 2kw
-2bw = -1e + -6 + 2kw

Reorder the terms:
-2bw = -6 + -1e + 2kw

Divide each side by '-2w'.
b = 3w-1 + 0.5ew-1 + -1k

Simplifying
b = 3w-1 + 0.5ew-1 + -1k

Reorder the terms:
b = 0.5ew-1 + -1k + 3w-1