Question

complete the process of solving the equation.
fill in all missing terms and select all missing descriptions. simplify any fractions.
$8(10d + 1) + d = 8$
$80d + 8 + d = 8$
$81d + 8 = 8$
$81d = $
$d = $
subtract 8 from both sides
divide both sides by 81

Explanation:

Step1: Identify first step description

The transition from $8(10d + 1) + d = 8$ to $80d + 8 + d = 8$ uses the distributive property to expand the parentheses.

Step2: Combine like terms description

The transition from $80d + 8 + d = 8$ to $81d + 8 = 8$ combines the $d$-terms.

Step3: Subtract 8 from both sides

$81d + 8 - 8 = 8 - 8$
$\implies 81d = 0$

Step4: Divide by 81

$\frac{81d}{81} = \frac{0}{81}$
$\implies d = 0$

Answer:

1. First dropdown (for $8(10d+1)+d=8 \to 80d+8+d=8$): Distribute the 8
2. Second dropdown (for $80d+8+d=8 \to 81d+8=8$): Combine like terms
3. $81d = 0$
4. $d = 0$