8w+2-4(-3w-2)=4(w-2)

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Solution for 8w+2-4(-3w-2)=4(w-2) equation: 


Simplifying
8w + 2 + -4(-3w + -2) = 4(w + -2)

Reorder the terms:
8w + 2 + -4(-2 + -3w) = 4(w + -2)
8w + 2 + (-2 * -4 + -3w * -4) = 4(w + -2)
8w + 2 + (8 + 12w) = 4(w + -2)

Reorder the terms:
2 + 8 + 8w + 12w = 4(w + -2)

Combine like terms: 2 + 8 = 10
10 + 8w + 12w = 4(w + -2)

Combine like terms: 8w + 12w = 20w
10 + 20w = 4(w + -2)

Reorder the terms:
10 + 20w = 4(-2 + w)
10 + 20w = (-2 * 4 + w * 4)
10 + 20w = (-8 + 4w)

Solving
10 + 20w = -8 + 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.
10 + 20w + -4w = -8 + 4w + -4w

Combine like terms: 20w + -4w = 16w
10 + 16w = -8 + 4w + -4w

Combine like terms: 4w + -4w = 0
10 + 16w = -8 + 0
10 + 16w = -8

Add '-10' to each side of the equation.
10 + -10 + 16w = -8 + -10

Combine like terms: 10 + -10 = 0
0 + 16w = -8 + -10
16w = -8 + -10

Combine like terms: -8 + -10 = -18
16w = -18

Divide each side by '16'.
w = -1.125

Simplifying
w = -1.125

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