5(9w-20)=4(5w-25)

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Solution for 5(9w-20)=4(5w-25) equation:


Simplifying
5(9w + -20) = 4(5w + -25)

Reorder the terms:
5(-20 + 9w) = 4(5w + -25)
(-20 * 5 + 9w * 5) = 4(5w + -25)
(-100 + 45w) = 4(5w + -25)

Reorder the terms:
-100 + 45w = 4(-25 + 5w)
-100 + 45w = (-25 * 4 + 5w * 4)
-100 + 45w = (-100 + 20w)

Add '100' to each side of the equation.
-100 + 100 + 45w = -100 + 100 + 20w

Combine like terms: -100 + 100 = 0
0 + 45w = -100 + 100 + 20w
45w = -100 + 100 + 20w

Combine like terms: -100 + 100 = 0
45w = 0 + 20w
45w = 20w

Solving
45w = 20w

Solving for variable 'w'.

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

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

Combine like terms: 45w + -20w = 25w
25w = 20w + -20w

Combine like terms: 20w + -20w = 0
25w = 0

Divide each side by '25'.
w = 0

Simplifying
w = 0

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