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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