Question

complete the process of solving the equation. fill in the missing term on each line. simplify any fractions. 2(d + 2) + 6 = 14 \square + 4 + 6 = 14 apply the distributive property 2d + \square = 14 combine like terms 2d = \square subtract 10 from both sides d = \square divide both sides by 2

Explanation:

Step1: Apply distributive property

The distributive property states that \(a(b + c)=ab+ac\). For \(2(d + 2)\), we have \(2\times d+2\times2 = 2d + 4\). So the first missing term is \(2d\), and the equation becomes \(2d+4 + 6=14\).

Step2: Combine like terms

Combine the constant terms \(4\) and \(6\). \(4 + 6=10\), so the second missing term is \(10\), and the equation is \(2d+10 = 14\).

Step3: Subtract 10 from both sides

Subtract \(10\) from both sides of \(2d + 10=14\). \(2d+10-10=14 - 10\), which simplifies to \(2d=4\). So the third missing term is \(4\).

Step4: Divide both sides by 2

Divide both sides of \(2d = 4\) by \(2\). \(\frac{2d}{2}=\frac{4}{2}\), which gives \(d = 2\). So the fourth missing term is \(2\).

Answer:

First missing term: \(2d\); Second missing term: \(10\); Third missing term: \(4\); Fourth missing term: \(2\)