We are asked to solve the equation $\frac{c}{4} + 13 = -8$ for the variable $c$.

AlgebraLinear EquationsSolving EquationsVariables
2025/4/27

1. Problem Description

We are asked to solve the equation c4+13=8\frac{c}{4} + 13 = -8 for the variable cc.

2. Solution Steps

We want to isolate cc on one side of the equation.
First, subtract 1313 from both sides of the equation:
c4+1313=813\frac{c}{4} + 13 - 13 = -8 - 13
c4=21\frac{c}{4} = -21
Next, multiply both sides of the equation by 44:
4c4=4(21)4 \cdot \frac{c}{4} = 4 \cdot (-21)
c=84c = -84

3. Final Answer

c=84c = -84

Related problems in "Algebra"

The problem requires us to solve the inequality $20 + 7x \le 34$ and graph the solution on the numbe...

InequalitiesLinear InequalitiesNumber LineGraphing
2025/4/28

The problem asks us to write the inequality in terms of $x$ that each of the given diagrams represen...

InequalitiesNumber LineGraphing Inequalities
2025/4/28

We are given two problems. (a) We are given a number line with a filled circle at -3 and an arrow po...

InequalitiesNumber LineSolving Inequalities
2025/4/28

The problem asks to write down the inequality in $x$ represented by the given number line diagram. T...

InequalitiesNumber LineAlgebraic Representation
2025/4/28

The problem is to simplify the expression $(x^2 + 2xy + y^2) - 4z^4$.

Algebraic simplificationFactoringDifference of squaresPerfect square trinomials
2025/4/28

The problem asks us to solve the inequality $2 > \frac{d}{2}$ and graph the solution on a number lin...

InequalitiesLinear InequalitiesNumber LineGraphing
2025/4/28

The problem requires us to solve the inequality $b + 45 \ge 48$ and then graph the solution on a num...

InequalitiesNumber LineSolving InequalitiesGraphing Inequalities
2025/4/28

The problem asks us to solve the inequality $99 < y + 95$ and graph the solution on a number line.

InequalitiesLinear InequalitiesNumber LineGraphing
2025/4/28

The problem asks us to solve the inequality $\frac{h}{2} > 3$ and then graph the solution on a numbe...

InequalitiesLinear InequalitiesNumber LineGraphing
2025/4/28

The problem is to solve the inequality $3 \le h - 6$ and graph the solution on a number line.

InequalitiesLinear InequalitiesNumber LineGraphing
2025/4/28