(4-w)-1=-4(w+9)

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Solution for (4-w)-1=-4(w+9) equation:


Simplifying
(4 + -1w) + -1 = -4(w + 9)

Remove parenthesis around (4 + -1w)
4 + -1w + -1 = -4(w + 9)

Reorder the terms:
4 + -1 + -1w = -4(w + 9)

Combine like terms: 4 + -1 = 3
3 + -1w = -4(w + 9)

Reorder the terms:
3 + -1w = -4(9 + w)
3 + -1w = (9 * -4 + w * -4)
3 + -1w = (-36 + -4w)

Solving
3 + -1w = -36 + -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.
3 + -1w + 4w = -36 + -4w + 4w

Combine like terms: -1w + 4w = 3w
3 + 3w = -36 + -4w + 4w

Combine like terms: -4w + 4w = 0
3 + 3w = -36 + 0
3 + 3w = -36

Add '-3' to each side of the equation.
3 + -3 + 3w = -36 + -3

Combine like terms: 3 + -3 = 0
0 + 3w = -36 + -3
3w = -36 + -3

Combine like terms: -36 + -3 = -39
3w = -39

Divide each side by '3'.
w = -13

Simplifying
w = -13

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