Question

i need help solving an equation....


-7(k + 9) = 9 (k - 5) - 14k

Answer 1

OK
first you need to eliminate the parentheses using the distributive law

can you do that?

Answer 2

no

Answer 3

OK
you multiply what's in the parenthese by the number in front

-7(k + 9) = 9(k - 5) - 14k
-7*k - 7*+9 = 9*k + 9*-5 - 14k

can you continue (perform the multiplications)

Answer 4

w ( so do i divide them

Answer 5

no you multiply
the left side becomes -7k - 63 ( becuase -7*k = -7k and -7*9 = -63)

now do the same process on the right side of the equation

Answer 6

what is 9*k + 9 * -5?

Answer 7

First, you would use the distributive property. You would multiply -7 to everything in the first set of parentheses.
\[-7*k=-7k\]
\[-7*9=-63\]
Put them together and you have: \[-7k-63\]
Then, you would do the same thing to the parentheses on the other side.
\[9*k=9k\]
\[9*(-5)=-45\]
put that together and you have 9k-45.
Don't forget about the -14k, though.
So now you would have: \[-7k-63=9k-45-14k\]
Now, you need to combine like terms on the right side.
\[9k-14k=-5k\]
Then, you will have: \[-7k-63=-5k-45\]
Now, you have to add 7k to both sides.
\[-7k-63=-5k-45\]
\[+7k.........+7k\]
\[-63=2k-45\]
Next, you would add 45 to both sides to get the variable alone.
\[-63=2k-45\]
\[+45.........+45\]
\[-18=2k\]
You would then divide both sides by 2.
\[-9=k\]
You should probably flip the equation so that the variable i on the left side:
\[k=-9\]