(3w-5w-4)+(7w-w+6)=

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Solution for (3w-5w-4)+(7w-w+6)= equation:


Simplifying
(3w + -5w + -4) + (7w + -1w + 6) = 0

Reorder the terms:
(-4 + 3w + -5w) + (7w + -1w + 6) = 0

Combine like terms: 3w + -5w = -2w
(-4 + -2w) + (7w + -1w + 6) = 0

Remove parenthesis around (-4 + -2w)
-4 + -2w + (7w + -1w + 6) = 0

Reorder the terms:
-4 + -2w + (6 + 7w + -1w) = 0

Combine like terms: 7w + -1w = 6w
-4 + -2w + (6 + 6w) = 0

Remove parenthesis around (6 + 6w)
-4 + -2w + 6 + 6w = 0

Reorder the terms:
-4 + 6 + -2w + 6w = 0

Combine like terms: -4 + 6 = 2
2 + -2w + 6w = 0

Combine like terms: -2w + 6w = 4w
2 + 4w = 0

Solving
2 + 4w = 0

Solving for variable 'w'.

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

Add '-2' to each side of the equation.
2 + -2 + 4w = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 4w = 0 + -2
4w = 0 + -2

Combine like terms: 0 + -2 = -2
4w = -2

Divide each side by '4'.
w = -0.5

Simplifying
w = -0.5

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