Solve for d. 2(d + 2) = 18 d = □

Distribute 2: Distribute the 2 across the parentheses. We need to apply the distributive property to remove the parentheses. This means we multiply 2 by each term inside the parentheses (d and 2). Calculation: 2(d + 2) = 2*d + 2*2 = 2d + 4Set up equation: Set up the equation without the parentheses. Now that we have distributed the 2, we can write the equation without the parentheses. Equation: 2d + 4 = 18Subtract 4: Subtract 4 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 4 from the left side. Calculation: 2d + 4 - 4 = 18 - 4, which simplifies to 2d = 14Divide to solve: Divide both sides of the equation by 2 to solve for d. To find the value of d, we divide both sides of the equation by 2. Calculation: 2d / 2 = 14 / 2, which simplifies to d = 7

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Solve for $d.$ $\newline$ $2(d + 2) = 18$ $\newline$ $d=\square$

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Math Problems

Grade 7

Solve two-step equations with parentheses

Full solution

Q. Solve for

d.

\newline

2(d + 2) = 18

\newline

d=\square

Distribute $2$ : Distribute the $2$ across the parentheses. $\newline$ We need to apply the distributive property to remove the parentheses. This means we multiply $2$ by each term inside the parentheses ( $d$ and $2$ ). $\newline$ Calculation: $2(d + 2) = 2\cdot d + 2\cdot 2 = 2d + 4$
Set up equation: Set up the equation without the parentheses. $\newline$ Now that we have distributed the $2$ , we can write the equation without the parentheses. $\newline$ Equation: $2d + 4 = 18$
Subtract $4$ : Subtract $4$ 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 $4$ from the left side. Calculation: $2d + 4 - 4 = 18 - 4$ , which simplifies to $2d = 14$
Divide to solve: Divide both sides of the equation by $2$ to solve for $d$ . To find the value of $d$ , we divide both sides of the equation by $2$ . Calculation: $\frac{2d}{2} = \frac{14}{2}$ , which simplifies to $d = 7$