Solve n/2 - (2n)/3 + (2n)/4 = 16 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac{n}{2}-\frac{2n}{3}+\frac{2n}{4}=16$$

Solve for n

$n=48$

Steps for Solving Linear Equation

Multiply both sides of the equation by $12$, the least common multiple of $2,3,4$.

$$6n-4\times 2n+3\times 2n=192$$

Multiply $-4$ and $2$ to get $-8$.

$$6n-8n+3\times 2n=192$$

Combine $6n$ and $-8n$ to get $-2n$.

$$-2n+3\times 2n=192$$

Multiply $3$ and $2$ to get $6$.

$$-2n+6n=192$$

Combine $-2n$ and $6n$ to get $4n$.

$$4n=192$$

Divide both sides by $4$.

$$n=\frac{192}{4}$$

Divide $192$ by $4$ to get $48$.

$$n=48$$