2w+6(2w-4)=58

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Solution for 2w+6(2w-4)=58 equation:


Simplifying
2w + 6(2w + -4) = 58

Reorder the terms:
2w + 6(-4 + 2w) = 58
2w + (-4 * 6 + 2w * 6) = 58
2w + (-24 + 12w) = 58

Reorder the terms:
-24 + 2w + 12w = 58

Combine like terms: 2w + 12w = 14w
-24 + 14w = 58

Solving
-24 + 14w = 58

Solving for variable 'w'.

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

Add '24' to each side of the equation.
-24 + 24 + 14w = 58 + 24

Combine like terms: -24 + 24 = 0
0 + 14w = 58 + 24
14w = 58 + 24

Combine like terms: 58 + 24 = 82
14w = 82

Divide each side by '14'.
w = 5.857142857

Simplifying
w = 5.857142857

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