0.1(a-16)=0.4(a-1)

Solution for 0.1(a-16)=0.4(a-1) equation:

Simplifying
0.1(a + -16) = 0.4(a + -1)

Reorder the terms:
0.1(-16 + a) = 0.4(a + -1)
(-16 * 0.1 + a * 0.1) = 0.4(a + -1)
(-1.6 + 0.1a) = 0.4(a + -1)

Reorder the terms:
-1.6 + 0.1a = 0.4(-1 + a)
-1.6 + 0.1a = (-1 * 0.4 + a * 0.4)
-1.6 + 0.1a = (-0.4 + 0.4a)

Solving
-1.6 + 0.1a = -0.4 + 0.4a

Solving for variable 'a'.

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

Add '-0.4a' to each side of the equation.
-1.6 + 0.1a + -0.4a = -0.4 + 0.4a + -0.4a

Combine like terms: 0.1a + -0.4a = -0.3a
-1.6 + -0.3a = -0.4 + 0.4a + -0.4a

Combine like terms: 0.4a + -0.4a = 0.0
-1.6 + -0.3a = -0.4 + 0.0
-1.6 + -0.3a = -0.4

Add '1.6' to each side of the equation.
-1.6 + 1.6 + -0.3a = -0.4 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + -0.3a = -0.4 + 1.6
-0.3a = -0.4 + 1.6

Combine like terms: -0.4 + 1.6 = 1.2
-0.3a = 1.2

Divide each side by '-0.3'.
a = -4

Simplifying
a = -4