30-2(2W+1)=6W-2(6+W)

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Solution for 30-2(2W+1)=6W-2(6+W) equation: 


Simplifying
30 + -2(2W + 1) = 6W + -2(6 + W)

Reorder the terms:
30 + -2(1 + 2W) = 6W + -2(6 + W)
30 + (1 * -2 + 2W * -2) = 6W + -2(6 + W)
30 + (-2 + -4W) = 6W + -2(6 + W)

Combine like terms: 30 + -2 = 28
28 + -4W = 6W + -2(6 + W)
28 + -4W = 6W + (6 * -2 + W * -2)
28 + -4W = 6W + (-12 + -2W)

Reorder the terms:
28 + -4W = -12 + 6W + -2W

Combine like terms: 6W + -2W = 4W
28 + -4W = -12 + 4W

Solving
28 + -4W = -12 + 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.
28 + -4W + -4W = -12 + 4W + -4W

Combine like terms: -4W + -4W = -8W
28 + -8W = -12 + 4W + -4W

Combine like terms: 4W + -4W = 0
28 + -8W = -12 + 0
28 + -8W = -12

Add '-28' to each side of the equation.
28 + -28 + -8W = -12 + -28

Combine like terms: 28 + -28 = 0
0 + -8W = -12 + -28
-8W = -12 + -28

Combine like terms: -12 + -28 = -40
-8W = -40

Divide each side by '-8'.
W = 5

Simplifying
W = 5

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