22=2(w+8)-5w

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Solution for 22=2(w+8)-5w equation: 


Simplifying
22 = 2(w + 8) + -5w

Reorder the terms:
22 = 2(8 + w) + -5w
22 = (8 * 2 + w * 2) + -5w
22 = (16 + 2w) + -5w

Combine like terms: 2w + -5w = -3w
22 = 16 + -3w

Solving
22 = 16 + -3w

Solving for variable 'w'.

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

Add '3w' to each side of the equation.
22 + 3w = 16 + -3w + 3w

Combine like terms: -3w + 3w = 0
22 + 3w = 16 + 0
22 + 3w = 16

Add '-22' to each side of the equation.
22 + -22 + 3w = 16 + -22

Combine like terms: 22 + -22 = 0
0 + 3w = 16 + -22
3w = 16 + -22

Combine like terms: 16 + -22 = -6
3w = -6

Divide each side by '3'.
w = -2

Simplifying
w = -2

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