2(6w+8)=4(2w+12)

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Solution for 2(6w+8)=4(2w+12) equation: 


Simplifying
2(6w + 8) = 4(2w + 12)

Reorder the terms:
2(8 + 6w) = 4(2w + 12)
(8 * 2 + 6w * 2) = 4(2w + 12)
(16 + 12w) = 4(2w + 12)

Reorder the terms:
16 + 12w = 4(12 + 2w)
16 + 12w = (12 * 4 + 2w * 4)
16 + 12w = (48 + 8w)

Solving
16 + 12w = 48 + 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.
16 + 12w + -8w = 48 + 8w + -8w

Combine like terms: 12w + -8w = 4w
16 + 4w = 48 + 8w + -8w

Combine like terms: 8w + -8w = 0
16 + 4w = 48 + 0
16 + 4w = 48

Add '-16' to each side of the equation.
16 + -16 + 4w = 48 + -16

Combine like terms: 16 + -16 = 0
0 + 4w = 48 + -16
4w = 48 + -16

Combine like terms: 48 + -16 = 32
4w = 32

Divide each side by '4'.
w = 8

Simplifying
w = 8

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