Answer:
[tex]\Huge \boxed{K=6}[/tex]
Step-by-step explanation:
To solve this problem, first you have to isolate it on one side of the equation.
First, group like terms.
[tex]\displaystyle 18k-8k+26=86[/tex]
Add.
[tex]\displaystyle 18k-8k=10k[/tex]
[tex]\displaystyle 10k+26=86[/tex]
Next, subtract 26 from both sides.
[tex]\displaystyle 10k+26-26=86-26[/tex]
Solve.
[tex]\displaystyle 86-26=60[/tex]
[tex]\displaystyle 10k=60[/tex]
Then, divide by 10 from both sides.
[tex]\displaystyle \frac{10k}{10}=\frac{60}{10}[/tex]
Solve.
[tex]\displaystyle 60\div10=6[/tex]
In conclusion, the correct answer is k=6.
[tex]\text{Hey there!}[/tex]
[tex]\text{18k + 226 - 8k = 86}\\\text{First, group/ combine the like terms: (18k + (-8k)) + (26) = 86}\\\text{18k + (-8k) = 10k-8k}\rightarrow\text{ 10k}\\\text{10k + 26 = 86}\\\text{You have to subtract by the \#26 on your sides}\\\text{10k + 26}\bf{- 26}\text{= 86\bf{ -26}}\\\text{Cancel out: 26 - 26 because it equals 0}\\\text{Keep: 86 -26 because it helps us solve for our answer.}\\\text{86 - 26 = 60}\\\rightarrow\text{10k = 60}\\\text{ Divide both sides by the \#10 on your sides}[/tex]
[tex]\dfrac{10\text{k}}{10} = \dfrac{60}{10}\\\\\text{Cancel out:}\dfrac{10\text{k}}{10}\text{ because it equals to 1}\\\text{Keep:}\dfrac{60}{10}\text{ because it equals to the value of k}\\\\\boxed{\boxed{\bf{Answer: k = 6}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
