2(w-1)+4=4(w+10)

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Solution for 2(w-1)+4=4(w+10) equation: 


Simplifying
2(w + -1) + 4 = 4(w + 10)

Reorder the terms:
2(-1 + w) + 4 = 4(w + 10)
(-1 * 2 + w * 2) + 4 = 4(w + 10)
(-2 + 2w) + 4 = 4(w + 10)

Reorder the terms:
-2 + 4 + 2w = 4(w + 10)

Combine like terms: -2 + 4 = 2
2 + 2w = 4(w + 10)

Reorder the terms:
2 + 2w = 4(10 + w)
2 + 2w = (10 * 4 + w * 4)
2 + 2w = (40 + 4w)

Solving
2 + 2w = 40 + 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 = 40 + 4w + -4w

Combine like terms: 2w + -4w = -2w
2 + -2w = 40 + 4w + -4w

Combine like terms: 4w + -4w = 0
2 + -2w = 40 + 0
2 + -2w = 40

Add '-2' to each side of the equation.
2 + -2 + -2w = 40 + -2

Combine like terms: 2 + -2 = 0
0 + -2w = 40 + -2
-2w = 40 + -2

Combine like terms: 40 + -2 = 38
-2w = 38

Divide each side by '-2'.
w = -19

Simplifying
w = -19

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