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

 Oct 22, 2014

Best Answer 

 #1
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-7(k+9)=9(k-5)-14k

Use the distributive property by multiplying -7 and 9 into their respective parenthesis

-7k-63=9k-45-14k

Use the communitive property to rearrange the right side so the numbers that both have the variable "k" are together. Then, simplify.

-7k-63=9k-14k-45

-7k-63=-5k-45

Add 7k to both sides; on the left, it eliminates -7k, and on the right, it comes together with -5k. Simplify the right side.

7k-7k-63=7k-5k-45

-63=2k-45

Now, add 45 to both sides to get rid of -45 from the right and combine it with the -63 on the left.

-63+45=2k-45+45

-18=2k

Finally, divide by 2 on both sides. -18/2 is -9, so therefore:

k=-9

 Oct 22, 2014
 #1
avatar
+5
Best Answer

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

Use the distributive property by multiplying -7 and 9 into their respective parenthesis

-7k-63=9k-45-14k

Use the communitive property to rearrange the right side so the numbers that both have the variable "k" are together. Then, simplify.

-7k-63=9k-14k-45

-7k-63=-5k-45

Add 7k to both sides; on the left, it eliminates -7k, and on the right, it comes together with -5k. Simplify the right side.

7k-7k-63=7k-5k-45

-63=2k-45

Now, add 45 to both sides to get rid of -45 from the right and combine it with the -63 on the left.

-63+45=2k-45+45

-18=2k

Finally, divide by 2 on both sides. -18/2 is -9, so therefore:

k=-9

Guest Oct 22, 2014

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