Solve for z 0.08z+0.11(100-z)=8.9

0.08z+0.11(100-z)=8.9

Simplify 0.08z+0.11(100-z).

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Simplify each term.

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Apply the distributive property.

0.08z+0.11⋅100+0.11(-z)=8.9

Multiply 0.11 by 100.

0.08z+11+0.11(-z)=8.9

Multiply -1 by 0.11.

0.08z+11-0.11z=8.9

Subtract 0.11z from 0.08z.

-0.03z+11=8.9

Move all terms not containing z to the right side of the equation.

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Subtract 11 from both sides of the equation.

-0.03z=8.9-11

Subtract 11 from 8.9.

-0.03z=-2.1

Divide each term by -0.03 and simplify.

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Divide each term in -0.03z=-2.1 by -0.03.

-0.03z-0.03=-2.1-0.03

Cancel the common factor of -0.03.

z=-2.1-0.03

Divide -2.1 by -0.03.

z=70

Solve for z 0.08z+0.11(100-z)=8.9