(8a-23)+(9-2a)=90

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Solution for (8a-23)+(9-2a)=90 equation: 


Simplifying
(8a + -23) + (9 + -2a) = 90

Reorder the terms:
(-23 + 8a) + (9 + -2a) = 90

Remove parenthesis around (-23 + 8a)
-23 + 8a + (9 + -2a) = 90

Remove parenthesis around (9 + -2a)
-23 + 8a + 9 + -2a = 90

Reorder the terms:
-23 + 9 + 8a + -2a = 90

Combine like terms: -23 + 9 = -14
-14 + 8a + -2a = 90

Combine like terms: 8a + -2a = 6a
-14 + 6a = 90

Solving
-14 + 6a = 90

Solving for variable 'a'.

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

Add '14' to each side of the equation.
-14 + 14 + 6a = 90 + 14

Combine like terms: -14 + 14 = 0
0 + 6a = 90 + 14
6a = 90 + 14

Combine like terms: 90 + 14 = 104
6a = 104

Divide each side by '6'.
a = 17.33333333

Simplifying
a = 17.33333333

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