Sure! Let's solve the equation [tex]\( -16(d + 1) = -20 \)[/tex] step by step.
1. Distribute the [tex]\(-16\)[/tex] on the left-hand side of the equation:
[tex]\[
-16(d + 1) = -16d - 16
\][/tex]
Now the equation is:
[tex]\[
-16d - 16 = -20
\][/tex]
2. Isolate the term involving [tex]\(d\)[/tex] on one side. To do this, add 16 to both sides of the equation:
[tex]\[
-16d - 16 + 16 = -20 + 16
\][/tex]
This simplifies to:
[tex]\[
-16d = -4
\][/tex]
3. Solve for [tex]\(d\)[/tex] by dividing both sides of the equation by [tex]\(-16\)[/tex]:
[tex]\[
d = \frac{-4}{-16}
\][/tex]
4. Simplify the fraction:
[tex]\[
d = \frac{-4}{-16} = \frac{4}{16} = \frac{1}{4}
\][/tex]
Thus, the solution to the equation [tex]\( -16(d + 1) = -20 \)[/tex] is:
[tex]\[
d = \frac{1}{4}
\][/tex]
