8w+2=4(w-5)

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Solution for 8w+2=4(w-5) equation: 


Simplifying
8w + 2 = 4(w + -5)

Reorder the terms:
2 + 8w = 4(w + -5)

Reorder the terms:
2 + 8w = 4(-5 + w)
2 + 8w = (-5 * 4 + w * 4)
2 + 8w = (-20 + 4w)

Solving
2 + 8w = -20 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
2 + 8w + -4w = -20 + 4w + -4w

Combine like terms: 8w + -4w = 4w
2 + 4w = -20 + 4w + -4w

Combine like terms: 4w + -4w = 0
2 + 4w = -20 + 0
2 + 4w = -20

Add '-2' to each side of the equation.
2 + -2 + 4w = -20 + -2

Combine like terms: 2 + -2 = 0
0 + 4w = -20 + -2
4w = -20 + -2

Combine like terms: -20 + -2 = -22
4w = -22

Divide each side by '4'.
w = -5.5

Simplifying
w = -5.5

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