Question

-4 (n-4) – 23= -7

Answer 1

Start by distributing the -4 on the left side.

Answer 2

but do i multiply it or add it? i don't get what you mean by that

Answer 3

1) add \(23\) to both sides
2) divide both sides by \(-4\)
3) add \(4\) to both sides

Answer 4

\[-4 (n-4) – 23= -7 \]
\[-4(n+4)=-7+23=16\]
\[n-4=16\div(-4)=-4\]
\[n=-4+4=0\]

Answer 5

The distributive property of multiplication over subtraction is this:

\(a(b - c) = ab - ac\)

Here is an example:

\(-3(n - 2) = (-3)(n) - (-3)(2) = -3n + 6\)

Answer 6

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Answer 7

In your problem, it looks like this:

\(-4 (n-4) – 23= -7 \)

Apply the distributive property:

\(-4n + 16 - 23 = -7\)

Subtract 16 - 23 on the left side:

\(-4n - 7 = -7\)

Add 7 to both sides:

\(-4n = 0\)

Divide both sides by -4:

\(n = 0\)

Answer 8

In an equation, once you find a solution, you can check to see if the solution is correct.

You insert the solution you found in the original equation and see if it works.

Let's check n = 0:

\(-4 (n-4) – 23= -7 \)

\(-4 (0-4) – 23= -7 \)

\(-4 (-4) – 23= -7 \)

\(16 – 23= -7 \)

\(-7= -7 \)

Since -7 = -7 is a true statement, our solution, n = 0, is correct.