4(a-8)-3(a+1)=0

Solution for 4(a-8)-3(a+1)=0 equation:

Simplifying
4(a + -8) + -3(a + 1) = 0

Reorder the terms:
4(-8 + a) + -3(a + 1) = 0
(-8 * 4 + a * 4) + -3(a + 1) = 0
(-32 + 4a) + -3(a + 1) = 0

Reorder the terms:
-32 + 4a + -3(1 + a) = 0
-32 + 4a + (1 * -3 + a * -3) = 0
-32 + 4a + (-3 + -3a) = 0

Reorder the terms:
-32 + -3 + 4a + -3a = 0

Combine like terms: -32 + -3 = -35
-35 + 4a + -3a = 0

Combine like terms: 4a + -3a = 1a
-35 + 1a = 0

Solving
-35 + 1a = 0

Solving for variable 'a'.

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

Add '35' to each side of the equation.
-35 + 35 + 1a = 0 + 35

Combine like terms: -35 + 35 = 0
0 + 1a = 0 + 35
1a = 0 + 35

Combine like terms: 0 + 35 = 35
1a = 35

Divide each side by '1'.
a = 35

Simplifying
a = 35