8(10a-4)+5a=a

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Solution for 8(10a-4)+5a=a equation:


Simplifying
8(10a + -4) + 5a = a

Reorder the terms:
8(-4 + 10a) + 5a = a
(-4 * 8 + 10a * 8) + 5a = a
(-32 + 80a) + 5a = a

Combine like terms: 80a + 5a = 85a
-32 + 85a = a

Solving
-32 + 85a = a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-32 + 85a + -1a = a + -1a

Combine like terms: 85a + -1a = 84a
-32 + 84a = a + -1a

Combine like terms: a + -1a = 0
-32 + 84a = 0

Add '32' to each side of the equation.
-32 + 32 + 84a = 0 + 32

Combine like terms: -32 + 32 = 0
0 + 84a = 0 + 32
84a = 0 + 32

Combine like terms: 0 + 32 = 32
84a = 32

Divide each side by '84'.
a = 0.380952381

Simplifying
a = 0.380952381

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