2a+11=91-6a

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Solution for 2a+11=91-6a equation:


Simplifying
2a + 11 = 91 + -6a

Reorder the terms:
11 + 2a = 91 + -6a

Solving
11 + 2a = 91 + -6a

Solving for variable 'a'.

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

Add '6a' to each side of the equation.
11 + 2a + 6a = 91 + -6a + 6a

Combine like terms: 2a + 6a = 8a
11 + 8a = 91 + -6a + 6a

Combine like terms: -6a + 6a = 0
11 + 8a = 91 + 0
11 + 8a = 91

Add '-11' to each side of the equation.
11 + -11 + 8a = 91 + -11

Combine like terms: 11 + -11 = 0
0 + 8a = 91 + -11
8a = 91 + -11

Combine like terms: 91 + -11 = 80
8a = 80

Divide each side by '8'.
a = 10

Simplifying
a = 10

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