Solved on Mar 07, 2024

Solve the equation n10+7=10\frac{n}{10} + 7 = 10 for nn.

STEP 1

Assumptions
1. The equation to solve is n10+7=10\frac{n}{10} + 7 = 10.
2. We need to isolate the variable nn to find its value.

STEP 2

First, we need to get rid of the constant term on the left side of the equation to isolate the term with the variable nn. We do this by subtracting 7 from both sides of the equation.
n10+77=107\frac{n}{10} + 7 - 7 = 10 - 7

STEP 3

Simplify both sides of the equation.
n10=3\frac{n}{10} = 3

STEP 4

Now, we need to isolate nn by getting rid of the fraction. We do this by multiplying both sides of the equation by 10.
10×n10=3×1010 \times \frac{n}{10} = 3 \times 10

STEP 5

Simplify both sides of the equation.
n=30n = 30
The solution to the equation n10+7=10\frac{n}{10} + 7 = 10 is n=30n = 30.

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