Solve for n
n\leq 5
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21+7n+6n\leq 86
Add 18 and 3 to get 21.
21+13n\leq 86
Combine 7n and 6n to get 13n.
13n\leq 86-21
Subtract 21 from both sides.
13n\leq 65
Subtract 21 from 86 to get 65.
n\leq \frac{65}{13}
Divide both sides by 13. Since 13 is positive, the inequality direction remains the same.
n\leq 5
Divide 65 by 13 to get 5.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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