Simplify 2(n+5)=−2

Answer 1

To simplify the equation \( 2(n + 5) = -2 \), follow these steps:

1. Distribute the 2 on the left side: \[ 2n + 10 = -2 \]

2. Subtract 10 from both sides to isolate the term with \( n \): \[ 2n = -2 - 10 \] \[ 2n = -12 \]

3. Divide both sides by 2 to solve for \( n \): \[ n = \frac{-12}{2} \] \[ n = -6 \]

Thus, the solution is \( n = -6 \).

Answer 2

Simplify 144=−12(x+5)

Answer 3

To simplify the equation \( 144 = -12(x + 5) \), follow these steps:

1. Distribute the \(-12\) on the right side: \[ 144 = -12x - 60 \]

2. Add \( 60 \) to both sides to isolate the term with \( x \): \[ 144 + 60 = -12x \] \[ 204 = -12x \]

3. Divide both sides by \(-12\) to solve for \( x \): \[ x = \frac{204}{-12} \] \[ x = -17 \]

Thus, the solution is \( x = -17 \).

Answer 4

The first step in solving 6=1−2n+5 is combining like terms, 1 + 5. True or false.

Answer 5

True.

In the equation \( 6 = 1 - 2n + 5 \), the first step is to combine the like terms \( 1 \) and \( 5 \) on the right side. This simplifies the equation to:

\[ 6 = 6 - 2n \]

So, the statement is true.

Answer 6

Solve 6=1−2n+5

Answer 7

To solve the equation \( 6 = 1 - 2n + 5 \), follow these steps:

1. Combine like terms on the right side: \[ 6 = 1 + 5 - 2n \] \[ 6 = 6 - 2n \]

2. Subtract 6 from both sides to isolate the term with \( n \): \[ 6 - 6 = 6 - 2n - 6 \] \[ 0 = -2n \]

3. Divide by -2 to solve for \( n \): \[ n = \frac{0}{-2} = 0 \]

Thus, the solution is \( n = 0 \).

Answer 8

Solve −18−6k=6(1+3k)

Answer 9

To solve the equation \( -18 - 6k = 6(1 + 3k) \), follow these steps:

1. Distribute the 6 on the right side: \[ -18 - 6k = 6 \cdot 1 + 6 \cdot 3k \] \[ -18 - 6k = 6 + 18k \]

2. Add \( 6k \) to both sides to get all \( k \) terms on one side: \[ -18 = 6 + 18k + 6k \] \[ -18 = 6 + 24k \]

3. Subtract 6 from both sides: \[ -18 - 6 = 24k \] \[ -24 = 24k \]

4. Divide by 24 to solve for \( k \): \[ k = \frac{-24}{24} = -1 \]

Thus, the solution is \( k = -1 \).