Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{k = 3}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{4.5 + 1.5k = 18 - 3k}[/tex]
Move 3k to left hand side and change it's sign
Similarly, move 4.5 to right hand side and change it's sign
[tex] \longrightarrow{ \sf{1.5k + 3k = 18 - 4.5}}[/tex]
Collect like terms
[tex] \longrightarrow{ \sf{4.5k = 18 - 4.5}}[/tex]
Subtract 4.5 from 18
[tex] \longrightarrow{ \sf{4.5k = 13.5}}[/tex]
Divide both sides by 4.5
[tex] \longrightarrow{ \sf{ \frac{4.5k}{4.5} = \frac{13.5}{4.5} }}[/tex]
Calculate
[tex] \longrightarrow{ \sf{k = 3}}[/tex]
Hope I helped!
Best regards! :D
