4(w+4)=6w+32

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Solution for 4(w+4)=6w+32 equation: 


Simplifying
4(w + 4) = 6w + 32

Reorder the terms:
4(4 + w) = 6w + 32
(4 * 4 + w * 4) = 6w + 32
(16 + 4w) = 6w + 32

Reorder the terms:
16 + 4w = 32 + 6w

Solving
16 + 4w = 32 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
16 + 4w + -6w = 32 + 6w + -6w

Combine like terms: 4w + -6w = -2w
16 + -2w = 32 + 6w + -6w

Combine like terms: 6w + -6w = 0
16 + -2w = 32 + 0
16 + -2w = 32

Add '-16' to each side of the equation.
16 + -16 + -2w = 32 + -16

Combine like terms: 16 + -16 = 0
0 + -2w = 32 + -16
-2w = 32 + -16

Combine like terms: 32 + -16 = 16
-2w = 16

Divide each side by '-2'.
w = -8

Simplifying
w = -8

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