4(a+6)-(6-a)=43

Solution for 4(a+6)-(6-a)=43 equation:

Simplifying
4(a + 6) + -1(6 + -1a) = 43

Reorder the terms:
4(6 + a) + -1(6 + -1a) = 43
(6 * 4 + a * 4) + -1(6 + -1a) = 43
(24 + 4a) + -1(6 + -1a) = 43
24 + 4a + (6 * -1 + -1a * -1) = 43
24 + 4a + (-6 + 1a) = 43

Reorder the terms:
24 + -6 + 4a + 1a = 43

Combine like terms: 24 + -6 = 18
18 + 4a + 1a = 43

Combine like terms: 4a + 1a = 5a
18 + 5a = 43

Solving
18 + 5a = 43

Solving for variable 'a'.

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

Add '-18' to each side of the equation.
18 + -18 + 5a = 43 + -18

Combine like terms: 18 + -18 = 0
0 + 5a = 43 + -18
5a = 43 + -18

Combine like terms: 43 + -18 = 25
5a = 25

Divide each side by '5'.
a = 5

Simplifying
a = 5