-2w+6(w-7)=-22

Solution for -2w+6(w-7)=-22 equation:

Simplifying
-2w + 6(w + -7) = -22

Reorder the terms:
-2w + 6(-7 + w) = -22
-2w + (-7 * 6 + w * 6) = -22
-2w + (-42 + 6w) = -22

Reorder the terms:
-42 + -2w + 6w = -22

Combine like terms: -2w + 6w = 4w
-42 + 4w = -22

Solving
-42 + 4w = -22

Solving for variable 'w'.

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

Add '42' to each side of the equation.
-42 + 42 + 4w = -22 + 42

Combine like terms: -42 + 42 = 0
0 + 4w = -22 + 42
4w = -22 + 42

Combine like terms: -22 + 42 = 20
4w = 20

Divide each side by '4'.
w = 5

Simplifying
w = 5