Solve for n
n=27
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8\times 7=\left(n+1\right)\times 2
Variable n cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by 8\left(n+1\right), the least common multiple of n+1,8.
56=\left(n+1\right)\times 2
Multiply 8 and 7 to get 56.
56=2n+2
Use the distributive property to multiply n+1 by 2.
2n+2=56
Swap sides so that all variable terms are on the left hand side.
2n=56-2
Subtract 2 from both sides.
2n=54
Subtract 2 from 56 to get 54.
n=\frac{54}{2}
Divide both sides by 2.
n=27
Divide 54 by 2 to get 27.
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