22=-8w+6(w+7)

Solution for 22=-8w+6(w+7) equation:

Simplifying
22 = -8w + 6(w + 7)

Reorder the terms:
22 = -8w + 6(7 + w)
22 = -8w + (7 * 6 + w * 6)
22 = -8w + (42 + 6w)

Reorder the terms:
22 = 42 + -8w + 6w

Combine like terms: -8w + 6w = -2w
22 = 42 + -2w

Solving
22 = 42 + -2w

Solving for variable 'w'.

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

Add '2w' to each side of the equation.
22 + 2w = 42 + -2w + 2w

Combine like terms: -2w + 2w = 0
22 + 2w = 42 + 0
22 + 2w = 42

Add '-22' to each side of the equation.
22 + -22 + 2w = 42 + -22

Combine like terms: 22 + -22 = 0
0 + 2w = 42 + -22
2w = 42 + -22

Combine like terms: 42 + -22 = 20
2w = 20

Divide each side by '2'.
w = 10

Simplifying
w = 10