0.45a-0.35(20-a)=0.02(50)

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Solution for 0.45a-0.35(20-a)=0.02(50) equation: 


Simplifying
0.45a + -0.35(20 + -1a) = 0.02(50)
0.45a + (20 * -0.35 + -1a * -0.35) = 0.02(50)
0.45a + (-7 + 0.35a) = 0.02(50)

Reorder the terms:
-7 + 0.45a + 0.35a = 0.02(50)

Combine like terms: 0.45a + 0.35a = 0.8a
-7 + 0.8a = 0.02(50)

Multiply 0.02 * 50
-7 + 0.8a = 1

Solving
-7 + 0.8a = 1

Solving for variable 'a'.

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

Add '7' to each side of the equation.
-7 + 7 + 0.8a = 1 + 7

Combine like terms: -7 + 7 = 0
0 + 0.8a = 1 + 7
0.8a = 1 + 7

Combine like terms: 1 + 7 = 8
0.8a = 8

Divide each side by '0.8'.
a = 10

Simplifying
a = 10

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