15(a+1)-16(1-a)=0

Solution for 15(a+1)-16(1-a)=0 equation:

Simplifying
15(a + 1) + -16(1 + -1a) = 0

Reorder the terms:
15(1 + a) + -16(1 + -1a) = 0
(1 * 15 + a * 15) + -16(1 + -1a) = 0
(15 + 15a) + -16(1 + -1a) = 0
15 + 15a + (1 * -16 + -1a * -16) = 0
15 + 15a + (-16 + 16a) = 0

Reorder the terms:
15 + -16 + 15a + 16a = 0

Combine like terms: 15 + -16 = -1
-1 + 15a + 16a = 0

Combine like terms: 15a + 16a = 31a
-1 + 31a = 0

Solving
-1 + 31a = 0

Solving for variable 'a'.

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

Add '1' to each side of the equation.
-1 + 1 + 31a = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 31a = 0 + 1
31a = 0 + 1

Combine like terms: 0 + 1 = 1
31a = 1

Divide each side by '31'.
a = 0.03225806452

Simplifying
a = 0.03225806452