5(3w-2)-10w=-2(2w-40)

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Solution for 5(3w-2)-10w=-2(2w-40) equation:


Simplifying
5(3w + -2) + -10w = -2(2w + -40)

Reorder the terms:
5(-2 + 3w) + -10w = -2(2w + -40)
(-2 * 5 + 3w * 5) + -10w = -2(2w + -40)
(-10 + 15w) + -10w = -2(2w + -40)

Combine like terms: 15w + -10w = 5w
-10 + 5w = -2(2w + -40)

Reorder the terms:
-10 + 5w = -2(-40 + 2w)
-10 + 5w = (-40 * -2 + 2w * -2)
-10 + 5w = (80 + -4w)

Solving
-10 + 5w = 80 + -4w

Solving for variable 'w'.

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

Add '4w' to each side of the equation.
-10 + 5w + 4w = 80 + -4w + 4w

Combine like terms: 5w + 4w = 9w
-10 + 9w = 80 + -4w + 4w

Combine like terms: -4w + 4w = 0
-10 + 9w = 80 + 0
-10 + 9w = 80

Add '10' to each side of the equation.
-10 + 10 + 9w = 80 + 10

Combine like terms: -10 + 10 = 0
0 + 9w = 80 + 10
9w = 80 + 10

Combine like terms: 80 + 10 = 90
9w = 90

Divide each side by '9'.
w = 10

Simplifying
w = 10

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