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
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