4.5q-1.5-4.4q=0.9q-3.2

Well, start off by collecting all the terms with letters on the left-hand side and then all the terms with numbers on the right hand side.

I get...

.1q-1.5=0.9q-3.2
.1q-1.5-0.9q=0.9q-3.2-0.9q
-.8q-1.5+1.5=-3.2+1.5
-.8q=-1.7
-2.125

Just doesn't look right

To solve the equation 4.5q - 1.5 - 4.4q = 0.9q - 3.2:

Step 1: Start by combining like terms on both sides of the equation. On the left-hand side, combine the terms 4.5q and -4.4q by subtracting 4.4q from 4.5q, resulting in 0.1q. On the right-hand side, there are no like terms to combine.

So the equation simplifies to: 0.1q - 1.5 = 0.9q - 3.2

Step 2: Now, we want to isolate the variable q on one side of the equation. Let's first move the 0.9q term from the right-hand side to the left-hand side by subtracting 0.9q from both sides of the equation. This operation will eliminate the q term from the right-hand side.

0.1q - 0.9q - 1.5 = 0.9q - 0.9q - 3.2

Simplifying further, we have: -0.8q - 1.5 = -3.2

Step 3: Next, let's move the constant term (-1.5) from the left-hand side to the right-hand side by adding 1.5 to both sides of the equation. Doing this will eliminate the constant term from the left-hand side.

-0.8q - 1.5 + 1.5 = -3.2 + 1.5

Simplifying further, we have: -0.8q = -1.7

Step 4: Finally, to solve for q, divide both sides of the equation by -0.8. This will cancel out the coefficient in front of q on the left-hand side, leaving only q.

(-0.8q) / -0.8 = (-1.7) / -0.8

Simplifying further, we have: q = 2.125

So, the solution to the equation 4.5q - 1.5 - 4.4q = 0.9q - 3.2 is q = 2.125.