Answer:
n=1/6
Add the numbers
1
−
4
+
1
6
−
6
4
=
9
{\color{#c92786}{1}}{\color{#c92786}{-4}}+{\color{#c92786}{16}}-64n=9
1−4+16−64n=9
1
3
−
6
4
=
9
{\color{#c92786}{13}}-64n=9
13−64n=9
2
Rearrange terms
1
3
−
6
4
=
9
{\color{#c92786}{13-64n}}=9
13−64n=9
−
6
4
+
1
3
=
9
{\color{#c92786}{-64n+13}}=9
−64n+13=9
3
Subtract
1
3
13
13
from both sides of the equation
−
6
4
+
1
3
=
9
-64n+13=9
−64n+13=9
−
6
4
+
1
3
−
1
3
=
9
−
1
3
-64n+13{\color{#c92786}{-13}}=9{\color{#c92786}{-13}}
−64n+13−13=9−13
4
Simplify
Subtract the numbers
Subtract the numbers
−
6
4
=
−
4
-64n=-4
−64n=−4
5
Divide both sides of the equation by the same term
−
6
4
=
−
4
-64n=-4
−64n=−4
−
6
4
−
6
4
=
−
4
−
6
4
\frac{-64n}{{\color{#c92786}{-64}}}=\frac{-4}{{\color{#c92786}{-64}}}
−64−64n=−64−4
6
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
1
1
6