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

Math
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
0.08z+11-0.11z=8.9
Subtract 0.11z from 0.08z.
-0.03z+11=8.9
-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
-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
z=70
Solve for z 0.08z+0.11(100-z)=8.9

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