3+4(2-w)=3w+(-w)-7

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Solution for 3+4(2-w)=3w+(-w)-7 equation: 


Simplifying
3 + 4(2 + -1w) = 3w + (-1w) + -7
3 + (2 * 4 + -1w * 4) = 3w + (-1w) + -7
3 + (8 + -4w) = 3w + (-1w) + -7

Combine like terms: 3 + 8 = 11
11 + -4w = 3w + (-1w) + -7

Reorder the terms:
11 + -4w = -7 + 3w + (-1w)

Combine like terms: 3w + (-1w) = 2w
11 + -4w = -7 + 2w

Solving
11 + -4w = -7 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
11 + -4w + -2w = -7 + 2w + -2w

Combine like terms: -4w + -2w = -6w
11 + -6w = -7 + 2w + -2w

Combine like terms: 2w + -2w = 0
11 + -6w = -7 + 0
11 + -6w = -7

Add '-11' to each side of the equation.
11 + -11 + -6w = -7 + -11

Combine like terms: 11 + -11 = 0
0 + -6w = -7 + -11
-6w = -7 + -11

Combine like terms: -7 + -11 = -18
-6w = -18

Divide each side by '-6'.
w = 3

Simplifying
w = 3

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