8w+22=3(w+4)

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Solution for 8w+22=3(w+4) equation: 


Simplifying
8w + 22 = 3(w + 4)

Reorder the terms:
22 + 8w = 3(w + 4)

Reorder the terms:
22 + 8w = 3(4 + w)
22 + 8w = (4 * 3 + w * 3)
22 + 8w = (12 + 3w)

Solving
22 + 8w = 12 + 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 + 8w + -3w = 12 + 3w + -3w

Combine like terms: 8w + -3w = 5w
22 + 5w = 12 + 3w + -3w

Combine like terms: 3w + -3w = 0
22 + 5w = 12 + 0
22 + 5w = 12

Add '-22' to each side of the equation.
22 + -22 + 5w = 12 + -22

Combine like terms: 22 + -22 = 0
0 + 5w = 12 + -22
5w = 12 + -22

Combine like terms: 12 + -22 = -10
5w = -10

Divide each side by '5'.
w = -2

Simplifying
w = -2

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