3(a+4)+8=2+a

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Solution for 3(a+4)+8=2+a equation:


Simplifying
3(a + 4) + 8 = 2 + a

Reorder the terms:
3(4 + a) + 8 = 2 + a
(4 * 3 + a * 3) + 8 = 2 + a
(12 + 3a) + 8 = 2 + a

Reorder the terms:
12 + 8 + 3a = 2 + a

Combine like terms: 12 + 8 = 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 = 2a
20 + 2a = 2 + a + -1a

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

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

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

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

Divide each side by '2'.
a = -9

Simplifying
a = -9

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