4(2w+1)=1(2w+4)

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Solution for 4(2w+1)=1(2w+4) equation:


Simplifying
4(2w + 1) = 1(2w + 4)

Reorder the terms:
4(1 + 2w) = 1(2w + 4)
(1 * 4 + 2w * 4) = 1(2w + 4)
(4 + 8w) = 1(2w + 4)

Reorder the terms:
4 + 8w = 1(4 + 2w)
4 + 8w = (4 * 1 + 2w * 1)
4 + 8w = (4 + 2w)

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

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

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

Solving
8w = 2w

Solving for variable 'w'.

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

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

Combine like terms: 8w + -2w = 6w
6w = 2w + -2w

Combine like terms: 2w + -2w = 0
6w = 0

Divide each side by '6'.
w = 0

Simplifying
w = 0

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