34-5a=7(6-a)+3a

Solution for 34-5a=7(6-a)+3a equation:

Simplifying
34 + -5a = 7(6 + -1a) + 3a
34 + -5a = (6 * 7 + -1a * 7) + 3a
34 + -5a = (42 + -7a) + 3a

Combine like terms: -7a + 3a = -4a
34 + -5a = 42 + -4a

Solving
34 + -5a = 42 + -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.
34 + -5a + 4a = 42 + -4a + 4a

Combine like terms: -5a + 4a = -1a
34 + -1a = 42 + -4a + 4a

Combine like terms: -4a + 4a = 0
34 + -1a = 42 + 0
34 + -1a = 42

Add '-34' to each side of the equation.
34 + -34 + -1a = 42 + -34

Combine like terms: 34 + -34 = 0
0 + -1a = 42 + -34
-1a = 42 + -34

Combine like terms: 42 + -34 = 8
-1a = 8

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

Simplifying
a = -8