6(w-4)+2(5+w)=4(2+w)-3(w-6)

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Solution for 6(w-4)+2(5+w)=4(2+w)-3(w-6) equation: 


Simplifying
6(w + -4) + 2(5 + w) = 4(2 + w) + -3(w + -6)

Reorder the terms:
6(-4 + w) + 2(5 + w) = 4(2 + w) + -3(w + -6)
(-4 * 6 + w * 6) + 2(5 + w) = 4(2 + w) + -3(w + -6)
(-24 + 6w) + 2(5 + w) = 4(2 + w) + -3(w + -6)
-24 + 6w + (5 * 2 + w * 2) = 4(2 + w) + -3(w + -6)
-24 + 6w + (10 + 2w) = 4(2 + w) + -3(w + -6)

Reorder the terms:
-24 + 10 + 6w + 2w = 4(2 + w) + -3(w + -6)

Combine like terms: -24 + 10 = -14
-14 + 6w + 2w = 4(2 + w) + -3(w + -6)

Combine like terms: 6w + 2w = 8w
-14 + 8w = 4(2 + w) + -3(w + -6)
-14 + 8w = (2 * 4 + w * 4) + -3(w + -6)
-14 + 8w = (8 + 4w) + -3(w + -6)

Reorder the terms:
-14 + 8w = 8 + 4w + -3(-6 + w)
-14 + 8w = 8 + 4w + (-6 * -3 + w * -3)
-14 + 8w = 8 + 4w + (18 + -3w)

Reorder the terms:
-14 + 8w = 8 + 18 + 4w + -3w

Combine like terms: 8 + 18 = 26
-14 + 8w = 26 + 4w + -3w

Combine like terms: 4w + -3w = 1w
-14 + 8w = 26 + 1w

Solving
-14 + 8w = 26 + 1w

Solving for variable 'w'.

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

Add '-1w' to each side of the equation.
-14 + 8w + -1w = 26 + 1w + -1w

Combine like terms: 8w + -1w = 7w
-14 + 7w = 26 + 1w + -1w

Combine like terms: 1w + -1w = 0
-14 + 7w = 26 + 0
-14 + 7w = 26

Add '14' to each side of the equation.
-14 + 14 + 7w = 26 + 14

Combine like terms: -14 + 14 = 0
0 + 7w = 26 + 14
7w = 26 + 14

Combine like terms: 26 + 14 = 40
7w = 40

Divide each side by '7'.
w = 5.714285714

Simplifying
w = 5.714285714

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