2k + 2 = -6

Question

What does k equal?

Answer 1

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

1. Subtract 2 from both sides of the equation: \[ 2k + 2 - 2 = -6 - 2 \] This simplifies to: \[ 2k = -8 \]

2. Now, divide both sides by 2: \[ k = \frac{-8}{2} \] This simplifies to: \[ k = -4 \]

So, \(k\) equals \(-4\).

Answer 2

7(a+6) = 28a
What does a equal?

Answer 3

To solve the equation \(7(a + 6) = 28a\), follow these steps:

1. Distribute the 7 on the left side: \[ 7a + 42 = 28a \]

2. Next, subtract \(7a\) from both sides: \[ 42 = 28a - 7a \] This simplifies to: \[ 42 = 21a \]

3. Now, divide both sides by 21: \[ a = \frac{42}{21} \] This simplifies to: \[ a = 2 \]

So, \(a\) equals \(2\).

Answer 4

4(5j - 3) = 24j + 4

Answer 5

To solve the equation \(4(5j - 3) = 24j + 4\), follow these steps:

1. Distribute the 4 on the left side: \[ 20j - 12 = 24j + 4 \]

2. Next, subtract \(20j\) from both sides: \[ -12 = 24j - 20j + 4 \] This simplifies to: \[ -12 = 4j + 4 \]

3. Now, subtract 4 from both sides: \[ -12 - 4 = 4j \] This simplifies to: \[ -16 = 4j \]

4. Finally, divide both sides by 4: \[ j = \frac{-16}{4} \] This simplifies to: \[ j = -4 \]

So, \(j\) equals \(-4\).