-.6(a-1.5)=-.3(a-4)

Solution for -.6(a-1.5)=-.3(a-4) equation:

Simplifying
-0.6(a + -1.5) = -0.3(a + -4)

Reorder the terms:
-0.6(-1.5 + a) = -0.3(a + -4)
(-1.5 * -0.6 + a * -0.6) = -0.3(a + -4)
(0.9 + -0.6a) = -0.3(a + -4)

Reorder the terms:
0.9 + -0.6a = -0.3(-4 + a)
0.9 + -0.6a = (-4 * -0.3 + a * -0.3)
0.9 + -0.6a = (1.2 + -0.3a)

Solving
0.9 + -0.6a = 1.2 + -0.3a

Solving for variable 'a'.

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

Add '0.3a' to each side of the equation.
0.9 + -0.6a + 0.3a = 1.2 + -0.3a + 0.3a

Combine like terms: -0.6a + 0.3a = -0.3a
0.9 + -0.3a = 1.2 + -0.3a + 0.3a

Combine like terms: -0.3a + 0.3a = 0.0
0.9 + -0.3a = 1.2 + 0.0
0.9 + -0.3a = 1.2

Add '-0.9' to each side of the equation.
0.9 + -0.9 + -0.3a = 1.2 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + -0.3a = 1.2 + -0.9
-0.3a = 1.2 + -0.9

Combine like terms: 1.2 + -0.9 = 0.3
-0.3a = 0.3

Divide each side by '-0.3'.
a = -1

Simplifying
a = -1