Question

Solve the equations
6p=2(5-2p)

Answer 1

To solve the equation \( 6p = 2(5 - 2p) \), we can follow these steps:

1. Distribute the \( 2 \) on the right side of the equation:
\[
6p = 10 - 4p
\]

2. Add \( 4p \) to both sides to get all the \( p \) terms on one side:
\[
6p + 4p = 10
\]
This simplifies to:
\[
10p = 10
\]

3. Divide both sides by \( 10 \):
\[
p = 1
\]

Thus, the solution to the equation \( 6p = 2(5 - 2p) \) is:
\[
\boxed{1}
\]

Answer 2

Solve the equations
3(n+3)=-4n+30

Answer 3

To solve the equation \( 3(n + 3) = -4n + 30 \), we can follow these steps:

1. Distribute the \( 3 \) on the left side of the equation:
\[
3n + 9 = -4n + 30
\]

2. Add \( 4n \) to both sides to get all the \( n \) terms on one side:
\[
3n + 4n + 9 = 30
\]
This simplifies to:
\[
7n + 9 = 30
\]

3. Subtract \( 9 \) from both sides:
\[
7n = 30 - 9
\]
Which simplifies to:
\[
7n = 21
\]

4. Divide both sides by \( 7 \):
\[
n = 3
\]

Thus, the solution to the equation \( 3(n + 3) = -4n + 30 \) is:
\[
\boxed{3}
\]