Question

Solve the linear equation. 9d/4+3−2d=−2(3+d)(1 point)
Responses

d=2 d is equal to 2

d=0 d is equal to 0

d = −4 d = −4

d = −3 d = −3

Answer 1

Let's solve the equation step by step:

The equation is:
\[
\frac{9d}{4} + 3 - 2d = -2(3 + d)
\]

First, simplify the right side:
\[
-2(3 + d) = -6 - 2d
\]

Now, rewrite the equation:
\[
\frac{9d}{4} + 3 - 2d = -6 - 2d
\]

Next, let's isolate the terms involving \(d\):
\[
\frac{9d}{4} + 3 = -6
\]

Subtract 3 from both sides:
\[
\frac{9d}{4} = -6 - 3 \\
\frac{9d}{4} = -9
\]

Now, multiply both sides by 4 to eliminate the fraction:
\[
9d = -36
\]

Now, divide by 9:
\[
d = -4
\]

Thus, the solution to the equation is:
\[
d = -4
\]

So, the answer is:
**d = −4**