5+9a=6(a+1)+11

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Solution for 5+9a=6(a+1)+11 equation:


Simplifying
5 + 9a = 6(a + 1) + 11

Reorder the terms:
5 + 9a = 6(1 + a) + 11
5 + 9a = (1 * 6 + a * 6) + 11
5 + 9a = (6 + 6a) + 11

Reorder the terms:
5 + 9a = 6 + 11 + 6a

Combine like terms: 6 + 11 = 17
5 + 9a = 17 + 6a

Solving
5 + 9a = 17 + 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.
5 + 9a + -6a = 17 + 6a + -6a

Combine like terms: 9a + -6a = 3a
5 + 3a = 17 + 6a + -6a

Combine like terms: 6a + -6a = 0
5 + 3a = 17 + 0
5 + 3a = 17

Add '-5' to each side of the equation.
5 + -5 + 3a = 17 + -5

Combine like terms: 5 + -5 = 0
0 + 3a = 17 + -5
3a = 17 + -5

Combine like terms: 17 + -5 = 12
3a = 12

Divide each side by '3'.
a = 4

Simplifying
a = 4

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