Answer: For the value of w=4, [tex]14=11+\frac{w}{8}\times 6[/tex] is a true statement.
Step-by-step explanation:
Since, the given expression,
[tex]14=11+\frac{w}{8}\times 6[/tex]
= [tex]14=11+\frac{6w}{8}[/tex]
= [tex]14=11+\frac{3w}{4}[/tex]
= [tex]3=\frac{3w}{4}[/tex] ( by subtraction property of equality)
⇒ [tex]=\frac{w}{4}[/tex] ( By division property of equality)
⇒ w=4 ( By multiplication property of equality)
