0.3a+(0.2-0.5)+0.2(a+2)=1.3

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Solution for 0.3a+(0.2-0.5)+0.2(a+2)=1.3 equation: 


Simplifying
0.3a + (0.2 + -0.5) + 0.2(a + 2) = 1.3

Combine like terms: 0.2 + -0.5 = -0.3
0.3a + (-0.3) + 0.2(a + 2) = 1.3
0.3a + -0.3 + 0.2(a + 2) = 1.3

Reorder the terms:
0.3a + -0.3 + 0.2(2 + a) = 1.3
0.3a + -0.3 + (2 * 0.2 + a * 0.2) = 1.3
0.3a + -0.3 + (0.4 + 0.2a) = 1.3

Reorder the terms:
-0.3 + 0.4 + 0.3a + 0.2a = 1.3

Combine like terms: -0.3 + 0.4 = 0.1
0.1 + 0.3a + 0.2a = 1.3

Combine like terms: 0.3a + 0.2a = 0.5a
0.1 + 0.5a = 1.3

Solving
0.1 + 0.5a = 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 + 0.5a = 1.3 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + 0.5a = 1.3 + -0.1
0.5a = 1.3 + -0.1

Combine like terms: 1.3 + -0.1 = 1.2
0.5a = 1.2

Divide each side by '0.5'.
a = 2.4

Simplifying
a = 2.4

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