1.5-0.25(a+4)=3+3(0.05-0.5)

Solution for 1.5-0.25(a+4)=3+3(0.05-0.5) equation:

Simplifying
1.5 + -0.25(a + 4) = 3 + 3(0.05 + -0.5)

Reorder the terms:
1.5 + -0.25(4 + a) = 3 + 3(0.05 + -0.5)
1.5 + (4 * -0.25 + a * -0.25) = 3 + 3(0.05 + -0.5)
1.5 + (-1 + -0.25a) = 3 + 3(0.05 + -0.5)

Combine like terms: 1.5 + -1 = 0.5
0.5 + -0.25a = 3 + 3(0.05 + -0.5)

Combine like terms: 0.05 + -0.5 = -0.45
0.5 + -0.25a = 3 + 3(-0.45)

Multiply 3 * -0.45
0.5 + -0.25a = 3 + -1.35

Combine like terms: 3 + -1.35 = 1.65
0.5 + -0.25a = 1.65

Solving
0.5 + -0.25a = 1.65

Solving for variable 'a'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + -0.25a = 1.65 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.25a = 1.65 + -0.5
-0.25a = 1.65 + -0.5

Combine like terms: 1.65 + -0.5 = 1.15
-0.25a = 1.15

Divide each side by '-0.25'.
a = -4.6

Simplifying
a = -4.6