16+6a=4(a+2)+a

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Solution for 16+6a=4(a+2)+a equation:


Simplifying
16 + 6a = 4(a + 2) + a

Reorder the terms:
16 + 6a = 4(2 + a) + a
16 + 6a = (2 * 4 + a * 4) + a
16 + 6a = (8 + 4a) + a

Combine like terms: 4a + a = 5a
16 + 6a = 8 + 5a

Solving
16 + 6a = 8 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
16 + 6a + -5a = 8 + 5a + -5a

Combine like terms: 6a + -5a = 1a
16 + 1a = 8 + 5a + -5a

Combine like terms: 5a + -5a = 0
16 + 1a = 8 + 0
16 + 1a = 8

Add '-16' to each side of the equation.
16 + -16 + 1a = 8 + -16

Combine like terms: 16 + -16 = 0
0 + 1a = 8 + -16
1a = 8 + -16

Combine like terms: 8 + -16 = -8
1a = -8

Divide each side by '1'.
a = -8

Simplifying
a = -8

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