7(a-2)=2a+8+a

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Solution for 7(a-2)=2a+8+a equation:


Simplifying
7(a + -2) = 2a + 8 + a

Reorder the terms:
7(-2 + a) = 2a + 8 + a
(-2 * 7 + a * 7) = 2a + 8 + a
(-14 + 7a) = 2a + 8 + a

Reorder the terms:
-14 + 7a = 8 + 2a + a

Combine like terms: 2a + a = 3a
-14 + 7a = 8 + 3a

Solving
-14 + 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.
-14 + 7a + -3a = 8 + 3a + -3a

Combine like terms: 7a + -3a = 4a
-14 + 4a = 8 + 3a + -3a

Combine like terms: 3a + -3a = 0
-14 + 4a = 8 + 0
-14 + 4a = 8

Add '14' to each side of the equation.
-14 + 14 + 4a = 8 + 14

Combine like terms: -14 + 14 = 0
0 + 4a = 8 + 14
4a = 8 + 14

Combine like terms: 8 + 14 = 22
4a = 22

Divide each side by '4'.
a = 5.5

Simplifying
a = 5.5

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