4(3w-2)=8(2w+3)+16

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Solution for 4(3w-2)=8(2w+3)+16 equation:


Simplifying
4(3w + -2) = 8(2w + 3) + 16

Reorder the terms:
4(-2 + 3w) = 8(2w + 3) + 16
(-2 * 4 + 3w * 4) = 8(2w + 3) + 16
(-8 + 12w) = 8(2w + 3) + 16

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

Reorder the terms:
-8 + 12w = 24 + 16 + 16w

Combine like terms: 24 + 16 = 40
-8 + 12w = 40 + 16w

Solving
-8 + 12w = 40 + 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 = 40 + 16w + -16w

Combine like terms: 12w + -16w = -4w
-8 + -4w = 40 + 16w + -16w

Combine like terms: 16w + -16w = 0
-8 + -4w = 40 + 0
-8 + -4w = 40

Add '8' to each side of the equation.
-8 + 8 + -4w = 40 + 8

Combine like terms: -8 + 8 = 0
0 + -4w = 40 + 8
-4w = 40 + 8

Combine like terms: 40 + 8 = 48
-4w = 48

Divide each side by '-4'.
w = -12

Simplifying
w = -12

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