Math Snap

STEP 1

1. The equation $13d + 8 = -1$ is a linear equation with one variable, $d$.
2. We need to isolate $d$ to solve the equation.
3. The solution will be a single real number.

STEP 2

1. Simplify the equation by moving constants to one side.
2. Isolate the variable $d$.
3. Check the solution.

STEP 3

First, we need to move the constant term 8 to the right side of the equation. We do this by subtracting 8 from both sides:
$13d + 8 - 8 = -1 - 8$
Simplifying, we get:
$13d = -9$

STEP 4

Now that we have isolated the term with $d$ on the left side, we need to divide both sides by 13 to isolate $d$:
$\frac{13d}{13} = \frac{-9}{13}$
Simplifying, we get:
$d = -\frac{9}{13}$

Let's check our solution by substituting $d = -\frac{9}{13}$ back into the original equation:
$13(-\frac{9}{13}) + 8 = -1$
Simplifying the left side:
$-9 + 8 = -1$
$-1 = -1$
The equation is true, so our solution is correct.
Therefore, the solution is:
$d = -\frac{9}{13}$