3(7-5w)=8(8(w+2))

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Solution for 3(7-5w)=8(8(w+2)) equation: 


Simplifying
3(7 + -5w) = 8(8(w + 2))
(7 * 3 + -5w * 3) = 8(8(w + 2))
(21 + -15w) = 8(8(w + 2))

Reorder the terms:
21 + -15w = 8(8(2 + w))
21 + -15w = 8((2 * 8 + w * 8))
21 + -15w = 8((16 + 8w))
21 + -15w = (16 * 8 + 8w * 8)
21 + -15w = (128 + 64w)

Solving
21 + -15w = 128 + 64w

Solving for variable 'w'.

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

Add '-64w' to each side of the equation.
21 + -15w + -64w = 128 + 64w + -64w

Combine like terms: -15w + -64w = -79w
21 + -79w = 128 + 64w + -64w

Combine like terms: 64w + -64w = 0
21 + -79w = 128 + 0
21 + -79w = 128

Add '-21' to each side of the equation.
21 + -21 + -79w = 128 + -21

Combine like terms: 21 + -21 = 0
0 + -79w = 128 + -21
-79w = 128 + -21

Combine like terms: 128 + -21 = 107
-79w = 107

Divide each side by '-79'.
w = -1.35443038

Simplifying
w = -1.35443038

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