0.40w+(0.80)(400)=0.60(400+w)

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Solution for 0.40w+(0.80)(400)=0.60(400+w) equation: 


Simplifying
0.40w + (0.80)(400) = 0.60(400 + w)

Multiply 0.80 * 400
0.40w + 320 = 0.60(400 + w)

Reorder the terms:
320 + 0.40w = 0.60(400 + w)
320 + 0.40w = (400 * 0.60 + w * 0.60)
320 + 0.40w = (240 + 0.60w)

Solving
320 + 0.40w = 240 + 0.60w

Solving for variable 'w'.

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

Add '-0.60w' to each side of the equation.
320 + 0.40w + -0.60w = 240 + 0.60w + -0.60w

Combine like terms: 0.40w + -0.60w = -0.2w
320 + -0.2w = 240 + 0.60w + -0.60w

Combine like terms: 0.60w + -0.60w = 0.00
320 + -0.2w = 240 + 0.00
320 + -0.2w = 240

Add '-320' to each side of the equation.
320 + -320 + -0.2w = 240 + -320

Combine like terms: 320 + -320 = 0
0 + -0.2w = 240 + -320
-0.2w = 240 + -320

Combine like terms: 240 + -320 = -80
-0.2w = -80

Divide each side by '-0.2'.
w = 400

Simplifying
w = 400

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