22=6w+2(w+5)

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Solution for 22=6w+2(w+5) equation: 


Simplifying
22 = 6w + 2(w + 5)

Reorder the terms:
22 = 6w + 2(5 + w)
22 = 6w + (5 * 2 + w * 2)
22 = 6w + (10 + 2w)

Reorder the terms:
22 = 10 + 6w + 2w

Combine like terms: 6w + 2w = 8w
22 = 10 + 8w

Solving
22 = 10 + 8w

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
22 + -8w = 10 + 8w + -8w

Combine like terms: 8w + -8w = 0
22 + -8w = 10 + 0
22 + -8w = 10

Add '-22' to each side of the equation.
22 + -22 + -8w = 10 + -22

Combine like terms: 22 + -22 = 0
0 + -8w = 10 + -22
-8w = 10 + -22

Combine like terms: 10 + -22 = -12
-8w = -12

Divide each side by '-8'.
w = 1.5

Simplifying
w = 1.5

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