9(5a-4)-1=14-8a

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Solution for 9(5a-4)-1=14-8a equation:


Simplifying
9(5a + -4) + -1 = 14 + -8a

Reorder the terms:
9(-4 + 5a) + -1 = 14 + -8a
(-4 * 9 + 5a * 9) + -1 = 14 + -8a
(-36 + 45a) + -1 = 14 + -8a

Reorder the terms:
-36 + -1 + 45a = 14 + -8a

Combine like terms: -36 + -1 = -37
-37 + 45a = 14 + -8a

Solving
-37 + 45a = 14 + -8a

Solving for variable 'a'.

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

Add '8a' to each side of the equation.
-37 + 45a + 8a = 14 + -8a + 8a

Combine like terms: 45a + 8a = 53a
-37 + 53a = 14 + -8a + 8a

Combine like terms: -8a + 8a = 0
-37 + 53a = 14 + 0
-37 + 53a = 14

Add '37' to each side of the equation.
-37 + 37 + 53a = 14 + 37

Combine like terms: -37 + 37 = 0
0 + 53a = 14 + 37
53a = 14 + 37

Combine like terms: 14 + 37 = 51
53a = 51

Divide each side by '53'.
a = 0.9622641509

Simplifying
a = 0.9622641509

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