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

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


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

Reorder the terms:
0.3a + (-0.5 + 0.2a) + (a + 2) = 1.3

Remove parenthesis around (-0.5 + 0.2a)
0.3a + -0.5 + 0.2a + (a + 2) = 1.3

Reorder the terms:
0.3a + -0.5 + 0.2a + (2 + a) = 1.3

Remove parenthesis around (2 + a)
0.3a + -0.5 + 0.2a + 2 + a = 1.3

Reorder the terms:
-0.5 + 2 + 0.3a + 0.2a + a = 1.3

Combine like terms: -0.5 + 2 = 1.5
1.5 + 0.3a + 0.2a + a = 1.3

Combine like terms: 0.3a + 0.2a = 0.5a
1.5 + 0.5a + a = 1.3

Combine like terms: 0.5a + a = 1.5a
1.5 + 1.5a = 1.3

Solving
1.5 + 1.5a = 1.3

Solving for variable 'a'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 1.5a = 1.3 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 1.5a = 1.3 + -1.5
1.5a = 1.3 + -1.5

Combine like terms: 1.3 + -1.5 = -0.2
1.5a = -0.2

Divide each side by '1.5'.
a = -0.1333333333

Simplifying
a = -0.1333333333

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