8(2w-3)=3(6-4w)

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Solution for 8(2w-3)=3(6-4w) equation:


Simplifying
8(2w + -3) = 3(6 + -4w)

Reorder the terms:
8(-3 + 2w) = 3(6 + -4w)
(-3 * 8 + 2w * 8) = 3(6 + -4w)
(-24 + 16w) = 3(6 + -4w)
-24 + 16w = (6 * 3 + -4w * 3)
-24 + 16w = (18 + -12w)

Solving
-24 + 16w = 18 + -12w

Solving for variable 'w'.

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

Add '12w' to each side of the equation.
-24 + 16w + 12w = 18 + -12w + 12w

Combine like terms: 16w + 12w = 28w
-24 + 28w = 18 + -12w + 12w

Combine like terms: -12w + 12w = 0
-24 + 28w = 18 + 0
-24 + 28w = 18

Add '24' to each side of the equation.
-24 + 24 + 28w = 18 + 24

Combine like terms: -24 + 24 = 0
0 + 28w = 18 + 24
28w = 18 + 24

Combine like terms: 18 + 24 = 42
28w = 42

Divide each side by '28'.
w = 1.5

Simplifying
w = 1.5

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