Solve for n
n=5
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3\times 4n=10\left(n+1\right)
Variable n cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by 3\left(n+1\right), the least common multiple of n+1,3.
12n=10\left(n+1\right)
Multiply 3 and 4 to get 12.
12n=10n+10
Use the distributive property to multiply 10 by n+1.
12n-10n=10
Subtract 10n from both sides.
2n=10
Combine 12n and -10n to get 2n.
n=\frac{10}{2}
Divide both sides by 2.
n=5
Divide 10 by 2 to get 5.
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