2w+2(4w-5)=55

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Solution for 2w+2(4w-5)=55 equation: 


Simplifying
2w + 2(4w + -5) = 55

Reorder the terms:
2w + 2(-5 + 4w) = 55
2w + (-5 * 2 + 4w * 2) = 55
2w + (-10 + 8w) = 55

Reorder the terms:
-10 + 2w + 8w = 55

Combine like terms: 2w + 8w = 10w
-10 + 10w = 55

Solving
-10 + 10w = 55

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 + 10w = 55 + 10

Combine like terms: -10 + 10 = 0
0 + 10w = 55 + 10
10w = 55 + 10

Combine like terms: 55 + 10 = 65
10w = 65

Divide each side by '10'.
w = 6.5

Simplifying
w = 6.5

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