90+2w=2(80+3w)

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Solution for 90+2w=2(80+3w) equation: 


Simplifying
90 + 2w = 2(80 + 3w)
90 + 2w = (80 * 2 + 3w * 2)
90 + 2w = (160 + 6w)

Solving
90 + 2w = 160 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
90 + 2w + -6w = 160 + 6w + -6w

Combine like terms: 2w + -6w = -4w
90 + -4w = 160 + 6w + -6w

Combine like terms: 6w + -6w = 0
90 + -4w = 160 + 0
90 + -4w = 160

Add '-90' to each side of the equation.
90 + -90 + -4w = 160 + -90

Combine like terms: 90 + -90 = 0
0 + -4w = 160 + -90
-4w = 160 + -90

Combine like terms: 160 + -90 = 70
-4w = 70

Divide each side by '-4'.
w = -17.5

Simplifying
w = -17.5

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