16(a-2)+3(10-a)=a

Solution for 16(a-2)+3(10-a)=a equation:

Simplifying
16(a + -2) + 3(10 + -1a) = a

Reorder the terms:
16(-2 + a) + 3(10 + -1a) = a
(-2 * 16 + a * 16) + 3(10 + -1a) = a
(-32 + 16a) + 3(10 + -1a) = a
-32 + 16a + (10 * 3 + -1a * 3) = a
-32 + 16a + (30 + -3a) = a

Reorder the terms:
-32 + 30 + 16a + -3a = a

Combine like terms: -32 + 30 = -2
-2 + 16a + -3a = a

Combine like terms: 16a + -3a = 13a
-2 + 13a = a

Solving
-2 + 13a = a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-2 + 13a + -1a = a + -1a

Combine like terms: 13a + -1a = 12a
-2 + 12a = a + -1a

Combine like terms: a + -1a = 0
-2 + 12a = 0

Add '2' to each side of the equation.
-2 + 2 + 12a = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 12a = 0 + 2
12a = 0 + 2

Combine like terms: 0 + 2 = 2
12a = 2

Divide each side by '12'.
a = 0.1666666667

Simplifying
a = 0.1666666667