2[w-1]+4=4[w+1]

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Solution for 2[w-1]+4=4[w+1] equation:


Simplifying
2[w + -1] + 4 = 4[w + 1]

Reorder the terms:
2[-1 + w] + 4 = 4[w + 1]
[-1 * 2 + w * 2] + 4 = 4[w + 1]
[-2 + 2w] + 4 = 4[w + 1]

Reorder the terms:
-2 + 4 + 2w = 4[w + 1]

Combine like terms: -2 + 4 = 2
2 + 2w = 4[w + 1]

Reorder the terms:
2 + 2w = 4[1 + w]
2 + 2w = [1 * 4 + w * 4]
2 + 2w = [4 + 4w]

Solving
2 + 2w = 4 + 4w

Solving for variable 'w'.

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

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

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

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

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

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

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

Divide each side by '-2'.
w = -1

Simplifying
w = -1

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