4(3w+2)=8(2w-3)

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Solution for 4(3w+2)=8(2w-3) equation:


Simplifying
4(3w + 2) = 8(2w + -3)

Reorder the terms:
4(2 + 3w) = 8(2w + -3)
(2 * 4 + 3w * 4) = 8(2w + -3)
(8 + 12w) = 8(2w + -3)

Reorder the terms:
8 + 12w = 8(-3 + 2w)
8 + 12w = (-3 * 8 + 2w * 8)
8 + 12w = (-24 + 16w)

Solving
8 + 12w = -24 + 16w

Solving for variable 'w'.

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

Add '-16w' to each side of the equation.
8 + 12w + -16w = -24 + 16w + -16w

Combine like terms: 12w + -16w = -4w
8 + -4w = -24 + 16w + -16w

Combine like terms: 16w + -16w = 0
8 + -4w = -24 + 0
8 + -4w = -24

Add '-8' to each side of the equation.
8 + -8 + -4w = -24 + -8

Combine like terms: 8 + -8 = 0
0 + -4w = -24 + -8
-4w = -24 + -8

Combine like terms: -24 + -8 = -32
-4w = -32

Divide each side by '-4'.
w = 8

Simplifying
w = 8

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