5a-6a-15=33+a

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Solution for 5a-6a-15=33+a equation: 


Simplifying
5a + -6a + -15 = 33 + a

Reorder the terms:
-15 + 5a + -6a = 33 + a

Combine like terms: 5a + -6a = -1a
-15 + -1a = 33 + a

Solving
-15 + -1a = 33 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-15 + -1a + -1a = 33 + a + -1a

Combine like terms: -1a + -1a = -2a
-15 + -2a = 33 + a + -1a

Combine like terms: a + -1a = 0
-15 + -2a = 33 + 0
-15 + -2a = 33

Add '15' to each side of the equation.
-15 + 15 + -2a = 33 + 15

Combine like terms: -15 + 15 = 0
0 + -2a = 33 + 15
-2a = 33 + 15

Combine like terms: 33 + 15 = 48
-2a = 48

Divide each side by '-2'.
a = -24

Simplifying
a = -24

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