0.60(w-300)+0.05w=0.70w-205

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Solution for 0.60(w-300)+0.05w=0.70w-205 equation: 


Simplifying
0.60(w + -300) + 0.05w = 0.70w + -205

Reorder the terms:
0.60(-300 + w) + 0.05w = 0.70w + -205
(-300 * 0.60 + w * 0.60) + 0.05w = 0.70w + -205
(-180 + 0.60w) + 0.05w = 0.70w + -205

Combine like terms: 0.60w + 0.05w = 0.65w
-180 + 0.65w = 0.70w + -205

Reorder the terms:
-180 + 0.65w = -205 + 0.70w

Solving
-180 + 0.65w = -205 + 0.70w

Solving for variable 'w'.

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

Add '-0.70w' to each side of the equation.
-180 + 0.65w + -0.70w = -205 + 0.70w + -0.70w

Combine like terms: 0.65w + -0.70w = -0.05w
-180 + -0.05w = -205 + 0.70w + -0.70w

Combine like terms: 0.70w + -0.70w = 0.00
-180 + -0.05w = -205 + 0.00
-180 + -0.05w = -205

Add '180' to each side of the equation.
-180 + 180 + -0.05w = -205 + 180

Combine like terms: -180 + 180 = 0
0 + -0.05w = -205 + 180
-0.05w = -205 + 180

Combine like terms: -205 + 180 = -25
-0.05w = -25

Divide each side by '-0.05'.
w = 500

Simplifying
w = 500

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