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3\times 29=5\left(2n+2\right)
Subtract 5 from 34 to get 29.
87=5\left(2n+2\right)
Multiply 3 and 29 to get 87.
87=10n+10
Use the distributive property to multiply 5 by 2n+2.
10n+10=87
Swap sides so that all variable terms are on the left hand side.
10n=87-10
Subtract 10 from both sides.
10n=77
Subtract 10 from 87 to get 77.
n=\frac{77}{10}
Divide both sides by 10.