28=0.55*32.5*(1-0.5w)

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Solution for 28=0.55*32.5*(1-0.5w) equation: 


Simplifying
28 = 0.55 * 32.5(1 + -0.5w)

Multiply 0.55 * 32.5
28 = 17.875(1 + -0.5w)
28 = (1 * 17.875 + -0.5w * 17.875)
28 = (17.875 + -8.9375w)

Solving
28 = 17.875 + -8.9375w

Solving for variable 'w'.

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

Add '8.9375w' to each side of the equation.
28 + 8.9375w = 17.875 + -8.9375w + 8.9375w

Combine like terms: -8.9375w + 8.9375w = 0.0000
28 + 8.9375w = 17.875 + 0.0000
28 + 8.9375w = 17.875

Add '-28' to each side of the equation.
28 + -28 + 8.9375w = 17.875 + -28

Combine like terms: 28 + -28 = 0
0 + 8.9375w = 17.875 + -28
8.9375w = 17.875 + -28

Combine like terms: 17.875 + -28 = -10.125
8.9375w = -10.125

Divide each side by '8.9375'.
w = -1.132867133

Simplifying
w = -1.132867133

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