36=2w+2(3w+10)

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Solution for 36=2w+2(3w+10) equation:


Simplifying
36 = 2w + 2(3w + 10)

Reorder the terms:
36 = 2w + 2(10 + 3w)
36 = 2w + (10 * 2 + 3w * 2)
36 = 2w + (20 + 6w)

Reorder the terms:
36 = 20 + 2w + 6w

Combine like terms: 2w + 6w = 8w
36 = 20 + 8w

Solving
36 = 20 + 8w

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
36 + -8w = 20 + 8w + -8w

Combine like terms: 8w + -8w = 0
36 + -8w = 20 + 0
36 + -8w = 20

Add '-36' to each side of the equation.
36 + -36 + -8w = 20 + -36

Combine like terms: 36 + -36 = 0
0 + -8w = 20 + -36
-8w = 20 + -36

Combine like terms: 20 + -36 = -16
-8w = -16

Divide each side by '-8'.
w = 2

Simplifying
w = 2

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