w+4-2(-9w-3)=4(w-2)

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Solution for w+4-2(-9w-3)=4(w-2) equation: 


Simplifying
w + 4 + -2(-9w + -3) = 4(w + -2)

Reorder the terms:
w + 4 + -2(-3 + -9w) = 4(w + -2)
w + 4 + (-3 * -2 + -9w * -2) = 4(w + -2)
w + 4 + (6 + 18w) = 4(w + -2)

Reorder the terms:
4 + 6 + w + 18w = 4(w + -2)

Combine like terms: 4 + 6 = 10
10 + w + 18w = 4(w + -2)

Combine like terms: w + 18w = 19w
10 + 19w = 4(w + -2)

Reorder the terms:
10 + 19w = 4(-2 + w)
10 + 19w = (-2 * 4 + w * 4)
10 + 19w = (-8 + 4w)

Solving
10 + 19w = -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 + 19w + -4w = -8 + 4w + -4w

Combine like terms: 19w + -4w = 15w
10 + 15w = -8 + 4w + -4w

Combine like terms: 4w + -4w = 0
10 + 15w = -8 + 0
10 + 15w = -8

Add '-10' to each side of the equation.
10 + -10 + 15w = -8 + -10

Combine like terms: 10 + -10 = 0
0 + 15w = -8 + -10
15w = -8 + -10

Combine like terms: -8 + -10 = -18
15w = -18

Divide each side by '15'.
w = -1.2

Simplifying
w = -1.2

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