0.03a+(0.02a-0.5)+0.2(a+2)=1.3

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Solution for 0.03a+(0.02a-0.5)+0.2(a+2)=1.3 equation: 


Simplifying
0.03a + (0.02a + -0.5) + 0.2(a + 2) = 1.3

Reorder the terms:
0.03a + (-0.5 + 0.02a) + 0.2(a + 2) = 1.3

Remove parenthesis around (-0.5 + 0.02a)
0.03a + -0.5 + 0.02a + 0.2(a + 2) = 1.3

Reorder the terms:
0.03a + -0.5 + 0.02a + 0.2(2 + a) = 1.3
0.03a + -0.5 + 0.02a + (2 * 0.2 + a * 0.2) = 1.3
0.03a + -0.5 + 0.02a + (0.4 + 0.2a) = 1.3

Reorder the terms:
-0.5 + 0.4 + 0.03a + 0.02a + 0.2a = 1.3

Combine like terms: -0.5 + 0.4 = -0.1
-0.1 + 0.03a + 0.02a + 0.2a = 1.3

Combine like terms: 0.03a + 0.02a = 0.05a
-0.1 + 0.05a + 0.2a = 1.3

Combine like terms: 0.05a + 0.2a = 0.25a
-0.1 + 0.25a = 1.3

Solving
-0.1 + 0.25a = 1.3

Solving for variable 'a'.

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

Add '0.1' to each side of the equation.
-0.1 + 0.1 + 0.25a = 1.3 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + 0.25a = 1.3 + 0.1
0.25a = 1.3 + 0.1

Combine like terms: 1.3 + 0.1 = 1.4
0.25a = 1.4

Divide each side by '0.25'.
a = 5.6

Simplifying
a = 5.6

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