4(a+1)+6(4a+5)=34

Solution for 4(a+1)+6(4a+5)=34 equation:

Simplifying
4(a + 1) + 6(4a + 5) = 34

Reorder the terms:
4(1 + a) + 6(4a + 5) = 34
(1 * 4 + a * 4) + 6(4a + 5) = 34
(4 + 4a) + 6(4a + 5) = 34

Reorder the terms:
4 + 4a + 6(5 + 4a) = 34
4 + 4a + (5 * 6 + 4a * 6) = 34
4 + 4a + (30 + 24a) = 34

Reorder the terms:
4 + 30 + 4a + 24a = 34

Combine like terms: 4 + 30 = 34
34 + 4a + 24a = 34

Combine like terms: 4a + 24a = 28a
34 + 28a = 34

Add '-34' to each side of the equation.
34 + -34 + 28a = 34 + -34

Combine like terms: 34 + -34 = 0
0 + 28a = 34 + -34
28a = 34 + -34

Combine like terms: 34 + -34 = 0
28a = 0

Solving
28a = 0

Solving for variable 'a'.

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

Divide each side by '28'.
a = 0

Simplifying
a = 0