11-3(a-3)=2+a

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Solution for 11-3(a-3)=2+a equation: 


Simplifying
11 + -3(a + -3) = 2 + a

Reorder the terms:
11 + -3(-3 + a) = 2 + a
11 + (-3 * -3 + a * -3) = 2 + a
11 + (9 + -3a) = 2 + a

Combine like terms: 11 + 9 = 20
20 + -3a = 2 + a

Solving
20 + -3a = 2 + 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.
20 + -3a + -1a = 2 + a + -1a

Combine like terms: -3a + -1a = -4a
20 + -4a = 2 + a + -1a

Combine like terms: a + -1a = 0
20 + -4a = 2 + 0
20 + -4a = 2

Add '-20' to each side of the equation.
20 + -20 + -4a = 2 + -20

Combine like terms: 20 + -20 = 0
0 + -4a = 2 + -20
-4a = 2 + -20

Combine like terms: 2 + -20 = -18
-4a = -18

Divide each side by '-4'.
a = 4.5

Simplifying
a = 4.5

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