0.3a+(0.2a-0.5)+0.2(a+22)=1.3

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Solution for 0.3a+(0.2a-0.5)+0.2(a+22)=1.3 equation: 


Simplifying
0.3a + (0.2a + -0.5) + 0.2(a + 22) = 1.3

Reorder the terms:
0.3a + (-0.5 + 0.2a) + 0.2(a + 22) = 1.3

Remove parenthesis around (-0.5 + 0.2a)
0.3a + -0.5 + 0.2a + 0.2(a + 22) = 1.3

Reorder the terms:
0.3a + -0.5 + 0.2a + 0.2(22 + a) = 1.3
0.3a + -0.5 + 0.2a + (22 * 0.2 + a * 0.2) = 1.3
0.3a + -0.5 + 0.2a + (4.4 + 0.2a) = 1.3

Reorder the terms:
-0.5 + 4.4 + 0.3a + 0.2a + 0.2a = 1.3

Combine like terms: -0.5 + 4.4 = 3.9
3.9 + 0.3a + 0.2a + 0.2a = 1.3

Combine like terms: 0.3a + 0.2a = 0.5a
3.9 + 0.5a + 0.2a = 1.3

Combine like terms: 0.5a + 0.2a = 0.7a
3.9 + 0.7a = 1.3

Solving
3.9 + 0.7a = 1.3

Solving for variable 'a'.

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

Add '-3.9' to each side of the equation.
3.9 + -3.9 + 0.7a = 1.3 + -3.9

Combine like terms: 3.9 + -3.9 = 0.0
0.0 + 0.7a = 1.3 + -3.9
0.7a = 1.3 + -3.9

Combine like terms: 1.3 + -3.9 = -2.6
0.7a = -2.6

Divide each side by '0.7'.
a = -3.714285714

Simplifying
a = -3.714285714

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