36=2(3[w*2])+2w

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Solution for 36=2(3[w*2])+2w equation:


Simplifying
36 = 2(3[w * 2]) + 2w

Reorder the terms for easier multiplication:
36 = 2(3[2w]) + 2w

Remove brackets around [2w]
36 = 2(3 * 2w) + 2w

Multiply 3 * 2
36 = 2(6w) + 2w

Remove parenthesis around (6w)
36 = 2 * 6w + 2w

Multiply 2 * 6
36 = 12w + 2w

Combine like terms: 12w + 2w = 14w
36 = 14w

Solving
36 = 14w

Solving for variable 'w'.

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

Add '-14w' to each side of the equation.
36 + -14w = 14w + -14w

Combine like terms: 14w + -14w = 0
36 + -14w = 0

Add '-36' to each side of the equation.
36 + -36 + -14w = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -14w = 0 + -36
-14w = 0 + -36

Combine like terms: 0 + -36 = -36
-14w = -36

Divide each side by '-14'.
w = 2.571428571

Simplifying
w = 2.571428571

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