Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Jan 01, 2024

Solve the linear equation $25n + 13 = -27$ for the unknown variable $n$ .

STEP 1

Assumptions
1. We have a linear equation in the form $ax + b = c$ .
2. We want to solve for $n$ .

STEP 2

Write down the given equation.
$25n + 13 = -27$

STEP 3

Subtract 13 from both sides of the equation to isolate the term with $n$ on one side.
$25n + 13 - 13 = -27 - 13$

STEP 4

Simplify both sides of the equation.
$25n = -27 - 13$

STEP 5

Calculate the right side of the equation.
$25n = -40$

STEP 6

Divide both sides of the equation by 25 to solve for $n$ .
$\frac{25n}{25} = \frac{-40}{25}$

STEP 7

Simplify both sides of the equation.
$n = -\frac{40}{25}$

STEP 8

Reduce the fraction to its simplest form.
$n = -\frac{8}{5}$
The solution to the equation $25n + 13 = -27$ is $n = -\frac{8}{5}$ .

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