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Solve each equation. Check your solution.

5n+6=4

Short Answer

Expert verified

The solution of the given equation is n=2.

Step by step solution

01

Step 1. Write the given equation.

The given equation is 鈥5n+6=4鈥.

02

Step 2. Solve the given equation.

Solving,

5n+6=4 (Given equation)

5n+66=46 (Subtract 6 from both sides)

5n=10 (Simplify)

5n5=105 (Divide both sides by 5)

n=2 (Simplify)

So, n=2is the solution of the given equation.

03

Step 3. Check the obtained solution.

Put n=2in the given equation 5n+6=4to get,

52+6=410+6=44=4

Since the value obtained on the left-hand side and right-hand side are equal, the obtained value is indeed a solution of the given equation.

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