Question

–
3d+18–12d=
–
3d–6
–
15d+18=
–
3d–6
Add -3d to both sides
Subtract -3d from both sides
Multiply both sides by -3d
Divide both sides by -3d
Combine like terms
+18=
–
6 Add 3d to both sides
–
12d=
–
24
Add 18 to both sides
Subtract 18 from both sides
Multiply both sides by 18
Divide both sides by 18
Apply the distributive property
d=

Answer 1

To solve the equation step by step, let's start with the original equation provided:

\[
-3d + 18 - 12d = -3d - 6
\]

1. Combine like terms on the left side:
\[
-3d - 12d + 18 = -3d - 6
\]
This simplifies to:
\[
-15d + 18 = -3d - 6
\]

2. Next, we'll add \(3d\) to both sides to eliminate \(-3d\) from the right side:
\[
-15d + 18 + 3d = -3d - 6 + 3d
\]
This simplifies to:
\[
-12d + 18 = -6
\]

3. Now, subtract \(18\) from both sides to isolate the term with \(d\):
\[
-12d + 18 - 18 = -6 - 18
\]
This simplifies to:
\[
-12d = -24
\]

4. Finally, divide both sides by \(-12\) to solve for \(d\):
\[
d = \frac{-24}{-12}
\]
This simplifies to:
\[
d = 2
\]

Thus, the solution to the equation is:

\[
d = 2
\]