14+4(w-5)=6-2w

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Solution for 14+4(w-5)=6-2w equation:


Simplifying
14 + 4(w + -5) = 6 + -2w

Reorder the terms:
14 + 4(-5 + w) = 6 + -2w
14 + (-5 * 4 + w * 4) = 6 + -2w
14 + (-20 + 4w) = 6 + -2w

Combine like terms: 14 + -20 = -6
-6 + 4w = 6 + -2w

Solving
-6 + 4w = 6 + -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.
-6 + 4w + 2w = 6 + -2w + 2w

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

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

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

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

Combine like terms: 6 + 6 = 12
6w = 12

Divide each side by '6'.
w = 2

Simplifying
w = 2

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