6(2w+6)=8(w+2)

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Solution for 6(2w+6)=8(w+2) equation: 


Simplifying
6(2w + 6) = 8(w + 2)

Reorder the terms:
6(6 + 2w) = 8(w + 2)
(6 * 6 + 2w * 6) = 8(w + 2)
(36 + 12w) = 8(w + 2)

Reorder the terms:
36 + 12w = 8(2 + w)
36 + 12w = (2 * 8 + w * 8)
36 + 12w = (16 + 8w)

Solving
36 + 12w = 16 + 8w

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
36 + 12w + -8w = 16 + 8w + -8w

Combine like terms: 12w + -8w = 4w
36 + 4w = 16 + 8w + -8w

Combine like terms: 8w + -8w = 0
36 + 4w = 16 + 0
36 + 4w = 16

Add '-36' to each side of the equation.
36 + -36 + 4w = 16 + -36

Combine like terms: 36 + -36 = 0
0 + 4w = 16 + -36
4w = 16 + -36

Combine like terms: 16 + -36 = -20
4w = -20

Divide each side by '4'.
w = -5

Simplifying
w = -5

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