12a-7-9(a-2)=a+35

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Solution for 12a-7-9(a-2)=a+35 equation: 


Simplifying
12a + -7 + -9(a + -2) = a + 35

Reorder the terms:
12a + -7 + -9(-2 + a) = a + 35
12a + -7 + (-2 * -9 + a * -9) = a + 35
12a + -7 + (18 + -9a) = a + 35

Reorder the terms:
-7 + 18 + 12a + -9a = a + 35

Combine like terms: -7 + 18 = 11
11 + 12a + -9a = a + 35

Combine like terms: 12a + -9a = 3a
11 + 3a = a + 35

Reorder the terms:
11 + 3a = 35 + a

Solving
11 + 3a = 35 + 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.
11 + 3a + -1a = 35 + a + -1a

Combine like terms: 3a + -1a = 2a
11 + 2a = 35 + a + -1a

Combine like terms: a + -1a = 0
11 + 2a = 35 + 0
11 + 2a = 35

Add '-11' to each side of the equation.
11 + -11 + 2a = 35 + -11

Combine like terms: 11 + -11 = 0
0 + 2a = 35 + -11
2a = 35 + -11

Combine like terms: 35 + -11 = 24
2a = 24

Divide each side by '2'.
a = 12

Simplifying
a = 12

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