To simplify and calculate the expression, let's substitute the value of c:
c = -4/9
Now, let's substitute c back into the expression:
-5(0.6c - 1.2) - 1.5c - 3
= -5(0.6(-4/9) - 1.2) - 1.5(-4/9) - 3
= -5(-2.4/9 - 1.2) + 6/3 - 3
= -5(-2.4/9 - 1.2) + 2 - 3
Next, let's simplify the expression inside the parentheses:
-2.4/9 - 1.2 = -2.4/9 - (1.2 * 9/9)
= -2.4/9 - 10.8/9
= (-2.4 - 10.8)/9
= -13.2/9
Now, substitute this value back into the main expression:
-5(-13.2/9) + 2 - 3
= 66/9 + 2 - 3
= 22/3 + 2 - 3
Now, let's get a common denominator for the fractions:
= (22 + 6)/3 - 3
= 28/3 - 3
Finally, subtract the fractions:
= (28 - 9)/3
= 19/3
So, the simplification of the expression -5(0.6с - 1.2) - 1.5с - 3, when c = -4/9, is 19/3.
