.04(.2-.1a)=7.12+.02a

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Solution for .04(.2-.1a)=7.12+.02a equation: 


Simplifying
0.04(0.2 + -0.1a) = 7.12 + 0.02a
(0.2 * 0.04 + -0.1a * 0.04) = 7.12 + 0.02a
(0.008 + -0.004a) = 7.12 + 0.02a

Solving
0.008 + -0.004a = 7.12 + 0.02a

Solving for variable 'a'.

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

Add '-0.02a' to each side of the equation.
0.008 + -0.004a + -0.02a = 7.12 + 0.02a + -0.02a

Combine like terms: -0.004a + -0.02a = -0.024a
0.008 + -0.024a = 7.12 + 0.02a + -0.02a

Combine like terms: 0.02a + -0.02a = 0.00
0.008 + -0.024a = 7.12 + 0.00
0.008 + -0.024a = 7.12

Add '-0.008' to each side of the equation.
0.008 + -0.008 + -0.024a = 7.12 + -0.008

Combine like terms: 0.008 + -0.008 = 0.000
0.000 + -0.024a = 7.12 + -0.008
-0.024a = 7.12 + -0.008

Combine like terms: 7.12 + -0.008 = 7.112
-0.024a = 7.112

Divide each side by '-0.024'.
a = -296.3333333

Simplifying
a = -296.3333333

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