3a-6=(a+1)+15+7

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Solution for 3a-6=(a+1)+15+7 equation:


Simplifying
3a + -6 = (a + 1) + 15 + 7

Reorder the terms:
-6 + 3a = (a + 1) + 15 + 7

Reorder the terms:
-6 + 3a = (1 + a) + 15 + 7

Remove parenthesis around (1 + a)
-6 + 3a = 1 + a + 15 + 7

Reorder the terms:
-6 + 3a = 1 + 15 + 7 + a

Combine like terms: 1 + 15 = 16
-6 + 3a = 16 + 7 + a

Combine like terms: 16 + 7 = 23
-6 + 3a = 23 + a

Solving
-6 + 3a = 23 + 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.
-6 + 3a + -1a = 23 + a + -1a

Combine like terms: 3a + -1a = 2a
-6 + 2a = 23 + a + -1a

Combine like terms: a + -1a = 0
-6 + 2a = 23 + 0
-6 + 2a = 23

Add '6' to each side of the equation.
-6 + 6 + 2a = 23 + 6

Combine like terms: -6 + 6 = 0
0 + 2a = 23 + 6
2a = 23 + 6

Combine like terms: 23 + 6 = 29
2a = 29

Divide each side by '2'.
a = 14.5

Simplifying
a = 14.5

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