0.3+(0.2a-0.5)+0.2(a+2)=13

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Solution for 0.3+(0.2a-0.5)+0.2(a+2)=13 equation: 


Simplifying
0.3 + (0.2a + -0.5) + 0.2(a + 2) = 13

Reorder the terms:
0.3 + (-0.5 + 0.2a) + 0.2(a + 2) = 13

Remove parenthesis around (-0.5 + 0.2a)
0.3 + -0.5 + 0.2a + 0.2(a + 2) = 13

Reorder the terms:
0.3 + -0.5 + 0.2a + 0.2(2 + a) = 13
0.3 + -0.5 + 0.2a + (2 * 0.2 + a * 0.2) = 13
0.3 + -0.5 + 0.2a + (0.4 + 0.2a) = 13

Reorder the terms:
0.3 + -0.5 + 0.4 + 0.2a + 0.2a = 13

Combine like terms: 0.3 + -0.5 = -0.2
-0.2 + 0.4 + 0.2a + 0.2a = 13

Combine like terms: -0.2 + 0.4 = 0.2
0.2 + 0.2a + 0.2a = 13

Combine like terms: 0.2a + 0.2a = 0.4a
0.2 + 0.4a = 13

Solving
0.2 + 0.4a = 13

Solving for variable 'a'.

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

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 0.4a = 13 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.4a = 13 + -0.2
0.4a = 13 + -0.2

Combine like terms: 13 + -0.2 = 12.8
0.4a = 12.8

Divide each side by '0.4'.
a = 32

Simplifying
a = 32

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