4-9w=-101-10(4w+5)

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Solution for 4-9w=-101-10(4w+5) equation: 


Simplifying
4 + -9w = -101 + -10(4w + 5)

Reorder the terms:
4 + -9w = -101 + -10(5 + 4w)
4 + -9w = -101 + (5 * -10 + 4w * -10)
4 + -9w = -101 + (-50 + -40w)

Combine like terms: -101 + -50 = -151
4 + -9w = -151 + -40w

Solving
4 + -9w = -151 + -40w

Solving for variable 'w'.

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

Add '40w' to each side of the equation.
4 + -9w + 40w = -151 + -40w + 40w

Combine like terms: -9w + 40w = 31w
4 + 31w = -151 + -40w + 40w

Combine like terms: -40w + 40w = 0
4 + 31w = -151 + 0
4 + 31w = -151

Add '-4' to each side of the equation.
4 + -4 + 31w = -151 + -4

Combine like terms: 4 + -4 = 0
0 + 31w = -151 + -4
31w = -151 + -4

Combine like terms: -151 + -4 = -155
31w = -155

Divide each side by '31'.
w = -5

Simplifying
w = -5

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