4a-2(a-3)=16

Solution for 4a-2(a-3)=16 equation:

Simplifying
4a + -2(a + -3) = 16

Reorder the terms:
4a + -2(-3 + a) = 16
4a + (-3 * -2 + a * -2) = 16
4a + (6 + -2a) = 16

Reorder the terms:
6 + 4a + -2a = 16

Combine like terms: 4a + -2a = 2a
6 + 2a = 16

Solving
6 + 2a = 16

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 = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 2a = 16 + -6
2a = 16 + -6

Combine like terms: 16 + -6 = 10
2a = 10

Divide each side by '2'.
a = 5

Simplifying
a = 5