4w-2(w-3)=-38

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Solution for 4w-2(w-3)=-38 equation:


Simplifying
4w + -2(w + -3) = -38

Reorder the terms:
4w + -2(-3 + w) = -38
4w + (-3 * -2 + w * -2) = -38
4w + (6 + -2w) = -38

Reorder the terms:
6 + 4w + -2w = -38

Combine like terms: 4w + -2w = 2w
6 + 2w = -38

Solving
6 + 2w = -38

Solving for variable 'w'.

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

Add '-6' to each side of the equation.
6 + -6 + 2w = -38 + -6

Combine like terms: 6 + -6 = 0
0 + 2w = -38 + -6
2w = -38 + -6

Combine like terms: -38 + -6 = -44
2w = -44

Divide each side by '2'.
w = -22

Simplifying
w = -22

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