Question

2k + 2 = -6
What does k equal?

Answer 1

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

Answer 2

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

Answer 3

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 4

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 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 \(-4\).