4(w-z)+2w-3z+6=

Solution for 4(w-z)+2w-3z+6= equation:

Simplifying
4(w + -1z) + 2w + -3z + 6 = 0
(w * 4 + -1z * 4) + 2w + -3z + 6 = 0
(4w + -4z) + 2w + -3z + 6 = 0

Reorder the terms:
6 + 4w + 2w + -4z + -3z = 0

Combine like terms: 4w + 2w = 6w
6 + 6w + -4z + -3z = 0

Combine like terms: -4z + -3z = -7z
6 + 6w + -7z = 0

Solving
6 + 6w + -7z = 0

Solving for variable 'w'.

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

Add '-6' to each side of the equation.
6 + 6w + -6 + -7z = 0 + -6

Reorder the terms:
6 + -6 + 6w + -7z = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 6w + -7z = 0 + -6
6w + -7z = 0 + -6

Combine like terms: 0 + -6 = -6
6w + -7z = -6

Add '7z' to each side of the equation.
6w + -7z + 7z = -6 + 7z

Combine like terms: -7z + 7z = 0
6w + 0 = -6 + 7z
6w = -6 + 7z

Divide each side by '6'.
w = -1 + 1.166666667z

Simplifying
w = -1 + 1.166666667z