Question

0.04(4c-36)=-0.8(c-3)
The solution is

Answer 1

Let's solve the equation step by step:

1. Start with the equation:
\[
0.04(4c - 36) = -0.8(c - 3)
\]

2. Distribute \(0.04\) on the left side:
\[
0.16c - 1.44 = -0.8(c - 3)
\]

3. Distributing \(-0.8\) on the right side:
\[
0.16c - 1.44 = -0.8c + 2.4
\]

4. Now, let's move all terms involving \(c\) to one side and constant terms to the other side. First, add \(0.8c\) to both sides:
\[
0.16c + 0.8c - 1.44 = 2.4
\]
Which simplifies to:
\[
0.96c - 1.44 = 2.4
\]

5. Next, add \(1.44\) to both sides:
\[
0.96c = 2.4 + 1.44
\]
\[
0.96c = 3.84
\]

6. Finally, divide both sides by \(0.96\):
\[
c = \frac{3.84}{0.96}
\]
\[
c = 4
\]

Thus, the solution is:
\[
\boxed{4}
\]