# Solve for a 1.2a-(0.18a-0.05)/0.5=0.4a+8.9 1.2a-0.18a-0.050.5=0.4a+8.9
Simplify 1.2a-0.18a-0.050.5.
Simplify each term.
Factor 0.01 out of 0.18a-0.05.
Factor 0.01 out of 0.18a.
1.2a-0.01(18a)-0.050.5=0.4a+8.9
Factor 0.01 out of -0.05.
1.2a-0.01(18a)+0.01(-5)0.5=0.4a+8.9
Factor 0.01 out of 0.01(18a)+0.01(-5).
1.2a-0.01(18a-5)0.5=0.4a+8.9
1.2a-0.01(18a-5)0.5=0.4a+8.9
Factor 0.5 out of 0.5.
1.2a-0.01(18a-5)0.5(1)=0.4a+8.9
Separate fractions.
1.2a-(0.010.5⋅18a-51)=0.4a+8.9
Divide 0.01 by 0.5.
1.2a-(0.0218a-51)=0.4a+8.9
Divide 18a-5 by 1.
1.2a-(0.02(18a-5))=0.4a+8.9
Apply the distributive property.
1.2a-(0.02(18a)+0.02⋅-5)=0.4a+8.9
Multiply 18 by 0.02.
1.2a-(0.36a+0.02⋅-5)=0.4a+8.9
Multiply 0.02 by -5.
1.2a-(0.36a-0.1)=0.4a+8.9
Apply the distributive property.
1.2a-(0.36a)–0.1=0.4a+8.9
Multiply 0.36 by -1.
1.2a-0.36a–0.1=0.4a+8.9
Multiply -1 by -0.1.
1.2a-0.36a+0.1=0.4a+8.9
1.2a-0.36a+0.1=0.4a+8.9
Subtract 0.36a from 1.2a.
0.84a+0.1=0.4a+8.9
0.84a+0.1=0.4a+8.9
Move all terms containing a to the left side of the equation.
Subtract 0.4a from both sides of the equation.
0.84a+0.1-0.4a=8.9
Subtract 0.4a from 0.84a.
0.44a+0.1=8.9
0.44a+0.1=8.9
Move all terms not containing a to the right side of the equation.
Subtract 0.1 from both sides of the equation.
0.44a=8.9-0.1
Subtract 0.1 from 8.9.
0.44a=8.8
0.44a=8.8
Divide each term by 0.44 and simplify.
Divide each term in 0.44a=8.8 by 0.44.
0.44a0.44=8.80.44
Cancel the common factor of 0.44.
a=8.80.44
Divide 8.8 by 0.44.
a=20
a=20
Solve for a 1.2a-(0.18a-0.05)/0.5=0.4a+8.9

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