a*5+71=a*9-5

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Solution for a*5+71=a*9-5 equation: 


Simplifying
a * 5 + 71 = a * 9 + -5

Reorder the terms for easier multiplication:
5a + 71 = a * 9 + -5

Reorder the terms:
71 + 5a = a * 9 + -5

Reorder the terms for easier multiplication:
71 + 5a = 9a + -5

Reorder the terms:
71 + 5a = -5 + 9a

Solving
71 + 5a = -5 + 9a

Solving for variable 'a'.

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

Add '-9a' to each side of the equation.
71 + 5a + -9a = -5 + 9a + -9a

Combine like terms: 5a + -9a = -4a
71 + -4a = -5 + 9a + -9a

Combine like terms: 9a + -9a = 0
71 + -4a = -5 + 0
71 + -4a = -5

Add '-71' to each side of the equation.
71 + -71 + -4a = -5 + -71

Combine like terms: 71 + -71 = 0
0 + -4a = -5 + -71
-4a = -5 + -71

Combine like terms: -5 + -71 = -76
-4a = -76

Divide each side by '-4'.
a = 19

Simplifying
a = 19

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