(2w-1)2=4(w-3)2

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Solution for (2w-1)2=4(w-3)2 equation: 


Simplifying
(2w + -1) * 2 = 4(w + -3) * 2

Reorder the terms:
(-1 + 2w) * 2 = 4(w + -3) * 2

Reorder the terms for easier multiplication:
2(-1 + 2w) = 4(w + -3) * 2
(-1 * 2 + 2w * 2) = 4(w + -3) * 2
(-2 + 4w) = 4(w + -3) * 2

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

Reorder the terms for easier multiplication:
-2 + 4w = 4 * 2(-3 + w)

Multiply 4 * 2
-2 + 4w = 8(-3 + w)
-2 + 4w = (-3 * 8 + w * 8)
-2 + 4w = (-24 + 8w)

Solving
-2 + 4w = -24 + 8w

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
-2 + 4w + -8w = -24 + 8w + -8w

Combine like terms: 4w + -8w = -4w
-2 + -4w = -24 + 8w + -8w

Combine like terms: 8w + -8w = 0
-2 + -4w = -24 + 0
-2 + -4w = -24

Add '2' to each side of the equation.
-2 + 2 + -4w = -24 + 2

Combine like terms: -2 + 2 = 0
0 + -4w = -24 + 2
-4w = -24 + 2

Combine like terms: -24 + 2 = -22
-4w = -22

Divide each side by '-4'.
w = 5.5

Simplifying
w = 5.5

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