2+3a=23+a(2)-6a

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Solution for 2+3a=23+a(2)-6a equation:


Simplifying
2 + 3a = 23 + a(2) + -6a

Reorder the terms for easier multiplication:
2 + 3a = 23 + 2a + -6a

Combine like terms: 2a + -6a = -4a
2 + 3a = 23 + -4a

Solving
2 + 3a = 23 + -4a

Solving for variable 'a'.

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

Add '4a' to each side of the equation.
2 + 3a + 4a = 23 + -4a + 4a

Combine like terms: 3a + 4a = 7a
2 + 7a = 23 + -4a + 4a

Combine like terms: -4a + 4a = 0
2 + 7a = 23 + 0
2 + 7a = 23

Add '-2' to each side of the equation.
2 + -2 + 7a = 23 + -2

Combine like terms: 2 + -2 = 0
0 + 7a = 23 + -2
7a = 23 + -2

Combine like terms: 23 + -2 = 21
7a = 21

Divide each side by '7'.
a = 3

Simplifying
a = 3

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