3a-7+a=15-6

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


Simplifying
3a + -7 + a = 15 + -6

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

Combine like terms: 3a + a = 4a
-7 + 4a = 15 + -6

Combine like terms: 15 + -6 = 9
-7 + 4a = 9

Solving
-7 + 4a = 9

Solving for variable 'a'.

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

Add '7' to each side of the equation.
-7 + 7 + 4a = 9 + 7

Combine like terms: -7 + 7 = 0
0 + 4a = 9 + 7
4a = 9 + 7

Combine like terms: 9 + 7 = 16
4a = 16

Divide each side by '4'.
a = 4

Simplifying
a = 4

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