45+20w=200+28w-75

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Solution for 45+20w=200+28w-75 equation:


Simplifying
45 + 20w = 200 + 28w + -75

Reorder the terms:
45 + 20w = 200 + -75 + 28w

Combine like terms: 200 + -75 = 125
45 + 20w = 125 + 28w

Solving
45 + 20w = 125 + 28w

Solving for variable 'w'.

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

Add '-28w' to each side of the equation.
45 + 20w + -28w = 125 + 28w + -28w

Combine like terms: 20w + -28w = -8w
45 + -8w = 125 + 28w + -28w

Combine like terms: 28w + -28w = 0
45 + -8w = 125 + 0
45 + -8w = 125

Add '-45' to each side of the equation.
45 + -45 + -8w = 125 + -45

Combine like terms: 45 + -45 = 0
0 + -8w = 125 + -45
-8w = 125 + -45

Combine like terms: 125 + -45 = 80
-8w = 80

Divide each side by '-8'.
w = -10

Simplifying
w = -10

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