36=2(w+8)+3w

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Solution for 36=2(w+8)+3w equation:


Simplifying
36 = 2(w + 8) + 3w

Reorder the terms:
36 = 2(8 + w) + 3w
36 = (8 * 2 + w * 2) + 3w
36 = (16 + 2w) + 3w

Combine like terms: 2w + 3w = 5w
36 = 16 + 5w

Solving
36 = 16 + 5w

Solving for variable 'w'.

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

Add '-5w' to each side of the equation.
36 + -5w = 16 + 5w + -5w

Combine like terms: 5w + -5w = 0
36 + -5w = 16 + 0
36 + -5w = 16

Add '-36' to each side of the equation.
36 + -36 + -5w = 16 + -36

Combine like terms: 36 + -36 = 0
0 + -5w = 16 + -36
-5w = 16 + -36

Combine like terms: 16 + -36 = -20
-5w = -20

Divide each side by '-5'.
w = 4

Simplifying
w = 4

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