46=2(2w+5)+2w

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Solution for 46=2(2w+5)+2w equation: 


Simplifying
46 = 2(2w + 5) + 2w

Reorder the terms:
46 = 2(5 + 2w) + 2w
46 = (5 * 2 + 2w * 2) + 2w
46 = (10 + 4w) + 2w

Combine like terms: 4w + 2w = 6w
46 = 10 + 6w

Solving
46 = 10 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
46 + -6w = 10 + 6w + -6w

Combine like terms: 6w + -6w = 0
46 + -6w = 10 + 0
46 + -6w = 10

Add '-46' to each side of the equation.
46 + -46 + -6w = 10 + -46

Combine like terms: 46 + -46 = 0
0 + -6w = 10 + -46
-6w = 10 + -46

Combine like terms: 10 + -46 = -36
-6w = -36

Divide each side by '-6'.
w = 6

Simplifying
w = 6

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