0.8a-2.86088=-5.7(1.6a+7.7)

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Solution for 0.8a-2.86088=-5.7(1.6a+7.7) equation: 


Simplifying
0.8a + -2.86088 = -5.7(1.6a + 7.7)

Reorder the terms:
-2.86088 + 0.8a = -5.7(1.6a + 7.7)

Reorder the terms:
-2.86088 + 0.8a = -5.7(7.7 + 1.6a)
-2.86088 + 0.8a = (7.7 * -5.7 + 1.6a * -5.7)
-2.86088 + 0.8a = (-43.89 + -9.12a)

Solving
-2.86088 + 0.8a = -43.89 + -9.12a

Solving for variable 'a'.

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

Add '9.12a' to each side of the equation.
-2.86088 + 0.8a + 9.12a = -43.89 + -9.12a + 9.12a

Combine like terms: 0.8a + 9.12a = 9.92a
-2.86088 + 9.92a = -43.89 + -9.12a + 9.12a

Combine like terms: -9.12a + 9.12a = 0.00
-2.86088 + 9.92a = -43.89 + 0.00
-2.86088 + 9.92a = -43.89

Add '2.86088' to each side of the equation.
-2.86088 + 2.86088 + 9.92a = -43.89 + 2.86088

Combine like terms: -2.86088 + 2.86088 = 0.00000
0.00000 + 9.92a = -43.89 + 2.86088
9.92a = -43.89 + 2.86088

Combine like terms: -43.89 + 2.86088 = -41.02912
9.92a = -41.02912

Divide each side by '9.92'.
a = -4.136

Simplifying
a = -4.136

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