Solve for d. 4(d + 2) = 12 d = □

Distribute and Simplify: Distribute the 4 across the terms inside the parentheses. We need to apply the distributive property, which states that a(b + c) = ab + ac. In this case, we have 4(d + 2), which becomes 4d + 4*2. Calculation: 4d + 8Set Up Equation: Set up the equation after distribution. After distributing the 4, our equation is now 4d + 8 = 12.Subtract to Isolate: Subtract 8 from both sides of the equation to isolate the term with d. We want to get d by itself on one side of the equation, so we need to remove the 8 from the left side. To do this, we subtract 8 from both sides. Calculation: 4d + 8 - 8 = 12 - 8, which simplifies to 4d = 4.Divide to Solve: Divide both sides of the equation by 4 to solve for d. Now that we have 4d = 4, we can divide both sides by 4 to find the value of d. Calculation: 4d / 4 = 4 / 4, which simplifies to d = 1.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for $d.$ $\newline$ $4(d + 2) = 12$ $\newline$ $d=\square$

View step-by-step help

Home

Math Problems

Grade 7

Solve two-step equations with parentheses

Full solution

Q. Solve for

d.

\newline

4(d + 2) = 12

\newline

d=\square

Distribute and Simplify: Distribute the $4$ across the terms inside the parentheses. $\newline$ We need to apply the distributive property, which states that $a(b + c) = ab + ac$ . In this case, we have $4(d + 2)$ , which becomes $4d + 4\times 2$ . $\newline$ Calculation: $4d + 8$
Set Up Equation: Set up the equation after distribution. $\newline$ After distributing the $4$ , our equation is now $4d + 8 = 12$ .
Subtract to Isolate: Subtract $8$ from both sides of the equation to isolate the term with $d$ . We want to get $d$ by itself on one side of the equation, so we need to remove the $8$ from the left side. To do this, we subtract $8$ from both sides. Calculation: $4d + 8 - 8 = 12 - 8$ , which simplifies to $4d = 4$ .
Divide to Solve: Divide both sides of the equation by $4$ to solve for $d$ . Now that we have $4d = 4$ , we can divide both sides by $4$ to find the value of $d$ . Calculation: $\frac{4d}{4} = \frac{4}{4}$ , which simplifies to $d = 1$ .