a*5+11=a*10-9

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Solution for a*5+11=a*10-9 equation: 


Simplifying
a * 5 + 11 = a * 10 + -9

Reorder the terms for easier multiplication:
5a + 11 = a * 10 + -9

Reorder the terms:
11 + 5a = a * 10 + -9

Reorder the terms for easier multiplication:
11 + 5a = 10a + -9

Reorder the terms:
11 + 5a = -9 + 10a

Solving
11 + 5a = -9 + 10a

Solving for variable 'a'.

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

Add '-10a' to each side of the equation.
11 + 5a + -10a = -9 + 10a + -10a

Combine like terms: 5a + -10a = -5a
11 + -5a = -9 + 10a + -10a

Combine like terms: 10a + -10a = 0
11 + -5a = -9 + 0
11 + -5a = -9

Add '-11' to each side of the equation.
11 + -11 + -5a = -9 + -11

Combine like terms: 11 + -11 = 0
0 + -5a = -9 + -11
-5a = -9 + -11

Combine like terms: -9 + -11 = -20
-5a = -20

Divide each side by '-5'.
a = 4

Simplifying
a = 4

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