Answer:
[tex] \large \boxed{l = \frac{P + 9}{ - 4} }[/tex]
See below for two alternative solutions.
Step-by-step explanation:
Goal
Given Equation
- [tex]P = - 3 - 4l - 6[/tex]
Step 1
- Make the l-term as the subject of equation by moving - 3 and - 6 to another side so we can leave l-term as the subject.
[tex]P + 3 + 6 = - 4l[/tex]
Simplify by adding 3 and 6.
[tex]P + 9 = - 4l[/tex]
Remember that we cannot combine a variable and a constant. We can only combine a like term.
Step 2
- Move -4 to divide P+9 so we can finally solve for l-term.
[tex] \frac{P + 9}{ - 4} = l[/tex]
Alternative Solutions
- 1) We change the position of the negative sign of 4.
[tex] - \frac{P - 9}{4} = l[/tex]
- 2) Simplify in the simplest form.
[tex] \frac{P + 9}{ - 4} = l \\ \frac{P}{ - 4} + \frac{9}{ - 4} = l \\ - \frac{P}{4} - \frac{9}{4} = l[/tex]
