8(5w-2)=4(8w+5)

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Solution for 8(5w-2)=4(8w+5) equation:


Simplifying
8(5w + -2) = 4(8w + 5)

Reorder the terms:
8(-2 + 5w) = 4(8w + 5)
(-2 * 8 + 5w * 8) = 4(8w + 5)
(-16 + 40w) = 4(8w + 5)

Reorder the terms:
-16 + 40w = 4(5 + 8w)
-16 + 40w = (5 * 4 + 8w * 4)
-16 + 40w = (20 + 32w)

Solving
-16 + 40w = 20 + 32w

Solving for variable 'w'.

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

Add '-32w' to each side of the equation.
-16 + 40w + -32w = 20 + 32w + -32w

Combine like terms: 40w + -32w = 8w
-16 + 8w = 20 + 32w + -32w

Combine like terms: 32w + -32w = 0
-16 + 8w = 20 + 0
-16 + 8w = 20

Add '16' to each side of the equation.
-16 + 16 + 8w = 20 + 16

Combine like terms: -16 + 16 = 0
0 + 8w = 20 + 16
8w = 20 + 16

Combine like terms: 20 + 16 = 36
8w = 36

Divide each side by '8'.
w = 4.5

Simplifying
w = 4.5

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