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

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


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

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

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

Solving
10 + 6w = 46

Solving for variable 'w'.

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

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

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

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

Divide each side by '6'.
w = 6

Simplifying
w = 6

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