5.2(7a+3.3)-5(a+5.8)=4.38

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Solution for 5.2(7a+3.3)-5(a+5.8)=4.38 equation: 


Simplifying
5.2(7a + 3.3) + -5(a + 5.8) = 4.38

Reorder the terms:
5.2(3.3 + 7a) + -5(a + 5.8) = 4.38
(3.3 * 5.2 + 7a * 5.2) + -5(a + 5.8) = 4.38
(17.16 + 36.4a) + -5(a + 5.8) = 4.38

Reorder the terms:
17.16 + 36.4a + -5(5.8 + a) = 4.38
17.16 + 36.4a + (5.8 * -5 + a * -5) = 4.38
17.16 + 36.4a + (-29 + -5a) = 4.38

Reorder the terms:
17.16 + -29 + 36.4a + -5a = 4.38

Combine like terms: 17.16 + -29 = -11.84
-11.84 + 36.4a + -5a = 4.38

Combine like terms: 36.4a + -5a = 31.4a
-11.84 + 31.4a = 4.38

Solving
-11.84 + 31.4a = 4.38

Solving for variable 'a'.

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

Add '11.84' to each side of the equation.
-11.84 + 11.84 + 31.4a = 4.38 + 11.84

Combine like terms: -11.84 + 11.84 = 0.00
0.00 + 31.4a = 4.38 + 11.84
31.4a = 4.38 + 11.84

Combine like terms: 4.38 + 11.84 = 16.22
31.4a = 16.22

Divide each side by '31.4'.
a = 0.5165605096

Simplifying
a = 0.5165605096

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