4a-(2a-6)=14

Solution for 4a-(2a-6)=14 equation:

Simplifying
4a + -1(2a + -6) = 14

Reorder the terms:
4a + -1(-6 + 2a) = 14
4a + (-6 * -1 + 2a * -1) = 14
4a + (6 + -2a) = 14

Reorder the terms:
6 + 4a + -2a = 14

Combine like terms: 4a + -2a = 2a
6 + 2a = 14

Solving
6 + 2a = 14

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + -6 + 2a = 14 + -6

Combine like terms: 6 + -6 = 0
0 + 2a = 14 + -6
2a = 14 + -6

Combine like terms: 14 + -6 = 8
2a = 8

Divide each side by '2'.
a = 4

Simplifying
a = 4