6a-(a-3)=4a+34

Solution for 6a-(a-3)=4a+34 equation:

Simplifying
6a + -1(a + -3) = 4a + 34

Reorder the terms:
6a + -1(-3 + a) = 4a + 34
6a + (-3 * -1 + a * -1) = 4a + 34
6a + (3 + -1a) = 4a + 34

Reorder the terms:
3 + 6a + -1a = 4a + 34

Combine like terms: 6a + -1a = 5a
3 + 5a = 4a + 34

Reorder the terms:
3 + 5a = 34 + 4a

Solving
3 + 5a = 34 + 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.
3 + 5a + -4a = 34 + 4a + -4a

Combine like terms: 5a + -4a = 1a
3 + 1a = 34 + 4a + -4a

Combine like terms: 4a + -4a = 0
3 + 1a = 34 + 0
3 + 1a = 34

Add '-3' to each side of the equation.
3 + -3 + 1a = 34 + -3

Combine like terms: 3 + -3 = 0
0 + 1a = 34 + -3
1a = 34 + -3

Combine like terms: 34 + -3 = 31
1a = 31

Divide each side by '1'.
a = 31

Simplifying
a = 31