16=5w+4(w-5)

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Solution for 16=5w+4(w-5) equation: 


Simplifying
16 = 5w + 4(w + -5)

Reorder the terms:
16 = 5w + 4(-5 + w)
16 = 5w + (-5 * 4 + w * 4)
16 = 5w + (-20 + 4w)

Reorder the terms:
16 = -20 + 5w + 4w

Combine like terms: 5w + 4w = 9w
16 = -20 + 9w

Solving
16 = -20 + 9w

Solving for variable 'w'.

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

Add '-9w' to each side of the equation.
16 + -9w = -20 + 9w + -9w

Combine like terms: 9w + -9w = 0
16 + -9w = -20 + 0
16 + -9w = -20

Add '-16' to each side of the equation.
16 + -16 + -9w = -20 + -16

Combine like terms: 16 + -16 = 0
0 + -9w = -20 + -16
-9w = -20 + -16

Combine like terms: -20 + -16 = -36
-9w = -36

Divide each side by '-9'.
w = 4

Simplifying
w = 4

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