6(3+w)=4-w

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


Simplifying
6(3 + w) = 4 + -1w
(3 * 6 + w * 6) = 4 + -1w
(18 + 6w) = 4 + -1w

Solving
18 + 6w = 4 + -1w

Solving for variable 'w'.

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

Add 'w' to each side of the equation.
18 + 6w + w = 4 + -1w + w

Combine like terms: 6w + w = 7w
18 + 7w = 4 + -1w + w

Combine like terms: -1w + w = 0
18 + 7w = 4 + 0
18 + 7w = 4

Add '-18' to each side of the equation.
18 + -18 + 7w = 4 + -18

Combine like terms: 18 + -18 = 0
0 + 7w = 4 + -18
7w = 4 + -18

Combine like terms: 4 + -18 = -14
7w = -14

Divide each side by '7'.
w = -2

Simplifying
w = -2

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