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

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


Simplifying
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 = -6w
10 + -6w = 55

Solving
10 + -6w = 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 + -6w = 55 + -10

Combine like terms: 10 + -10 = 0
0 + -6w = 55 + -10
-6w = 55 + -10

Combine like terms: 55 + -10 = 45
-6w = 45

Divide each side by '-6'.
w = -7.5

Simplifying
w = -7.5

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