5w-2(w-3z)+2(7z-w)=

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Solution for 5w-2(w-3z)+2(7z-w)= equation:


Simplifying
5w + -2(w + -3z) + 2(7z + -1w) = 0
5w + (w * -2 + -3z * -2) + 2(7z + -1w) = 0
5w + (-2w + 6z) + 2(7z + -1w) = 0

Reorder the terms:
5w + -2w + 6z + 2(-1w + 7z) = 0
5w + -2w + 6z + (-1w * 2 + 7z * 2) = 0
5w + -2w + 6z + (-2w + 14z) = 0

Reorder the terms:
5w + -2w + -2w + 6z + 14z = 0

Combine like terms: 5w + -2w = 3w
3w + -2w + 6z + 14z = 0

Combine like terms: 3w + -2w = 1w
1w + 6z + 14z = 0

Combine like terms: 6z + 14z = 20z
1w + 20z = 0

Solving
1w + 20z = 0

Solving for variable 'w'.

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

Add '-20z' to each side of the equation.
1w + 20z + -20z = 0 + -20z

Combine like terms: 20z + -20z = 0
1w + 0 = 0 + -20z
1w = 0 + -20z
Remove the zero:
1w = -20z

Divide each side by '1'.
w = -20z

Simplifying
w = -20z

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