7(a-2)-6=2(a+4)+a

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Solution for 7(a-2)-6=2(a+4)+a equation: 


Simplifying
7(a + -2) + -6 = 2(a + 4) + a

Reorder the terms:
7(-2 + a) + -6 = 2(a + 4) + a
(-2 * 7 + a * 7) + -6 = 2(a + 4) + a
(-14 + 7a) + -6 = 2(a + 4) + a

Reorder the terms:
-14 + -6 + 7a = 2(a + 4) + a

Combine like terms: -14 + -6 = -20
-20 + 7a = 2(a + 4) + a

Reorder the terms:
-20 + 7a = 2(4 + a) + a
-20 + 7a = (4 * 2 + a * 2) + a
-20 + 7a = (8 + 2a) + a

Combine like terms: 2a + a = 3a
-20 + 7a = 8 + 3a

Solving
-20 + 7a = 8 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-20 + 7a + -3a = 8 + 3a + -3a

Combine like terms: 7a + -3a = 4a
-20 + 4a = 8 + 3a + -3a

Combine like terms: 3a + -3a = 0
-20 + 4a = 8 + 0
-20 + 4a = 8

Add '20' to each side of the equation.
-20 + 20 + 4a = 8 + 20

Combine like terms: -20 + 20 = 0
0 + 4a = 8 + 20
4a = 8 + 20

Combine like terms: 8 + 20 = 28
4a = 28

Divide each side by '4'.
a = 7

Simplifying
a = 7

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