(a-6)+(3a+11)=41

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Solution for (a-6)+(3a+11)=41 equation:


Simplifying
(a + -6) + (3a + 11) = 41

Reorder the terms:
(-6 + a) + (3a + 11) = 41

Remove parenthesis around (-6 + a)
-6 + a + (3a + 11) = 41

Reorder the terms:
-6 + a + (11 + 3a) = 41

Remove parenthesis around (11 + 3a)
-6 + a + 11 + 3a = 41

Reorder the terms:
-6 + 11 + a + 3a = 41

Combine like terms: -6 + 11 = 5
5 + a + 3a = 41

Combine like terms: a + 3a = 4a
5 + 4a = 41

Solving
5 + 4a = 41

Solving for variable 'a'.

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

Add '-5' to each side of the equation.
5 + -5 + 4a = 41 + -5

Combine like terms: 5 + -5 = 0
0 + 4a = 41 + -5
4a = 41 + -5

Combine like terms: 41 + -5 = 36
4a = 36

Divide each side by '4'.
a = 9

Simplifying
a = 9

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