1.6(a-4)-.6=(.4-7)

Solution for 1.6(a-4)-.6=(.4-7) equation:

Simplifying
1.6(a + -4) + -0.6 = (0.4 + -7)

Reorder the terms:
1.6(-4 + a) + -0.6 = (0.4 + -7)
(-4 * 1.6 + a * 1.6) + -0.6 = (0.4 + -7)
(-6.4 + 1.6a) + -0.6 = (0.4 + -7)

Reorder the terms:
-6.4 + -0.6 + 1.6a = (0.4 + -7)

Combine like terms: -6.4 + -0.6 = -7
-7 + 1.6a = (0.4 + -7)

Combine like terms: 0.4 + -7 = -6.6
-7 + 1.6a = (-6.6)
-7 + 1.6a = -6.6

Solving
-7 + 1.6a = -6.6

Solving for variable 'a'.

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

Add '7' to each side of the equation.
-7 + 7 + 1.6a = -6.6 + 7

Combine like terms: -7 + 7 = 0
0 + 1.6a = -6.6 + 7
1.6a = -6.6 + 7

Combine like terms: -6.6 + 7 = 0.4
1.6a = 0.4

Divide each side by '1.6'.
a = 0.25

Simplifying
a = 0.25