10+2a+11=11a-9-3a

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Solution for 10+2a+11=11a-9-3a equation:


Simplifying
10 + 2a + 11 = 11a + -9 + -3a

Reorder the terms:
10 + 11 + 2a = 11a + -9 + -3a

Combine like terms: 10 + 11 = 21
21 + 2a = 11a + -9 + -3a

Reorder the terms:
21 + 2a = -9 + 11a + -3a

Combine like terms: 11a + -3a = 8a
21 + 2a = -9 + 8a

Solving
21 + 2a = -9 + 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.
21 + 2a + -8a = -9 + 8a + -8a

Combine like terms: 2a + -8a = -6a
21 + -6a = -9 + 8a + -8a

Combine like terms: 8a + -8a = 0
21 + -6a = -9 + 0
21 + -6a = -9

Add '-21' to each side of the equation.
21 + -21 + -6a = -9 + -21

Combine like terms: 21 + -21 = 0
0 + -6a = -9 + -21
-6a = -9 + -21

Combine like terms: -9 + -21 = -30
-6a = -30

Divide each side by '-6'.
a = 5

Simplifying
a = 5

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