5a-3.5(-4-4a)=22+45.5a

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Solution for 5a-3.5(-4-4a)=22+45.5a equation: 


Simplifying
5a + -3.5(-4 + -4a) = 22 + 45.5a
5a + (-4 * -3.5 + -4a * -3.5) = 22 + 45.5a
5a + (14 + 14a) = 22 + 45.5a

Reorder the terms:
14 + 5a + 14a = 22 + 45.5a

Combine like terms: 5a + 14a = 19a
14 + 19a = 22 + 45.5a

Solving
14 + 19a = 22 + 45.5a

Solving for variable 'a'.

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

Add '-45.5a' to each side of the equation.
14 + 19a + -45.5a = 22 + 45.5a + -45.5a

Combine like terms: 19a + -45.5a = -26.5a
14 + -26.5a = 22 + 45.5a + -45.5a

Combine like terms: 45.5a + -45.5a = 0.0
14 + -26.5a = 22 + 0.0
14 + -26.5a = 22

Add '-14' to each side of the equation.
14 + -14 + -26.5a = 22 + -14

Combine like terms: 14 + -14 = 0
0 + -26.5a = 22 + -14
-26.5a = 22 + -14

Combine like terms: 22 + -14 = 8
-26.5a = 8

Divide each side by '-26.5'.
a = -0.3018867925

Simplifying
a = -0.3018867925

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