Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Jan 17, 2024

Solve the linear equation $0=4+\frac{n}{5}$ for the unknown variable $n$ .

STEP 1

Assumptions
1. We are given the equation $0 = 4 + \frac{n}{5}$ .
2. We need to solve for the variable $n$ .

STEP 2

To isolate the term containing $n$ , we need to subtract 4 from both sides of the equation.
$0 - 4 = 4 - 4 + \frac{n}{5}$

STEP 3

Perform the subtraction on both sides of the equation.
$-4 = \frac{n}{5}$

STEP 4

To solve for $n$ , we need to eliminate the fraction by multiplying both sides of the equation by 5.
$5 \times (-4) = 5 \times \frac{n}{5}$

STEP 5

Perform the multiplication on both sides.
$-20 = n$

STEP 6

We have now solved for $n$ .
$n = -20$
The solution to the equation $0 = 4 + \frac{n}{5}$ is $n = -20$ .

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