4a-3=2(a+1)+9a+4

Solution for 4a-3=2(a+1)+9a+4 equation:

Simplifying
4a + -3 = 2(a + 1) + 9a + 4

Reorder the terms:
-3 + 4a = 2(a + 1) + 9a + 4

Reorder the terms:
-3 + 4a = 2(1 + a) + 9a + 4
-3 + 4a = (1 * 2 + a * 2) + 9a + 4
-3 + 4a = (2 + 2a) + 9a + 4

Reorder the terms:
-3 + 4a = 2 + 4 + 2a + 9a

Combine like terms: 2 + 4 = 6
-3 + 4a = 6 + 2a + 9a

Combine like terms: 2a + 9a = 11a
-3 + 4a = 6 + 11a

Solving
-3 + 4a = 6 + 11a

Solving for variable 'a'.

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

Add '-11a' to each side of the equation.
-3 + 4a + -11a = 6 + 11a + -11a

Combine like terms: 4a + -11a = -7a
-3 + -7a = 6 + 11a + -11a

Combine like terms: 11a + -11a = 0
-3 + -7a = 6 + 0
-3 + -7a = 6

Add '3' to each side of the equation.
-3 + 3 + -7a = 6 + 3

Combine like terms: -3 + 3 = 0
0 + -7a = 6 + 3
-7a = 6 + 3

Combine like terms: 6 + 3 = 9
-7a = 9

Divide each side by '-7'.
a = -1.285714286

Simplifying
a = -1.285714286