w+1-4(-4w-1)=5(w-1)

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Solution for w+1-4(-4w-1)=5(w-1) equation:


Simplifying
w + 1 + -4(-4w + -1) = 5(w + -1)

Reorder the terms:
w + 1 + -4(-1 + -4w) = 5(w + -1)
w + 1 + (-1 * -4 + -4w * -4) = 5(w + -1)
w + 1 + (4 + 16w) = 5(w + -1)

Reorder the terms:
1 + 4 + w + 16w = 5(w + -1)

Combine like terms: 1 + 4 = 5
5 + w + 16w = 5(w + -1)

Combine like terms: w + 16w = 17w
5 + 17w = 5(w + -1)

Reorder the terms:
5 + 17w = 5(-1 + w)
5 + 17w = (-1 * 5 + w * 5)
5 + 17w = (-5 + 5w)

Solving
5 + 17w = -5 + 5w

Solving for variable 'w'.

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

Add '-5w' to each side of the equation.
5 + 17w + -5w = -5 + 5w + -5w

Combine like terms: 17w + -5w = 12w
5 + 12w = -5 + 5w + -5w

Combine like terms: 5w + -5w = 0
5 + 12w = -5 + 0
5 + 12w = -5

Add '-5' to each side of the equation.
5 + -5 + 12w = -5 + -5

Combine like terms: 5 + -5 = 0
0 + 12w = -5 + -5
12w = -5 + -5

Combine like terms: -5 + -5 = -10
12w = -10

Divide each side by '12'.
w = -0.8333333333

Simplifying
w = -0.8333333333

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