Solve for d. 4(d + 1) = 16 d = _____

Distribute 4 to terms: Step 1: Distribute the 4 to both terms inside the parentheses. Calculation: 4(d + 1) = 4d + 4.Set equation equal: Step 2: Set the equation equal to 16. Calculation: 4d + 4 = 16.Subtract to isolate term: Step 3: Subtract 4 from both sides to isolate the term with d. Calculation: 4d + 4 - 4 = 16 - 4, which simplifies to 4d = 12.Divide to solve for d: Step 4: Divide both sides by 4 to solve for d. Calculation: 4d / 4 = 12 / 4, which simplifies to d = 3.

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Math Problems

Grade 7

Solve two-step equations with parentheses

Full solution

Q. Solve for

d

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4(d + 1) = 16

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d =

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Distribute $4$ to terms: Step $1$ : Distribute the $4$ to both terms inside the parentheses. $\newline$ Calculation: $4(d + 1) = 4d + 4$ .
Set equation equal: Step $2$ : Set the equation equal to $16$ . $\newline$ Calculation: $4d + 4 = 16$ .
Subtract to isolate term: Step $3$ : Subtract $4$ from both sides to isolate the term with $d$ . $\newline$ Calculation: $4d + 4 - 4 = 16 - 4$ , which simplifies to $4d = 12$ .
Divide to solve for $d$ : Step $4$ : Divide both sides by $4$ to solve for $d$ . $\newline$ Calculation: $\frac{4d}{4} = \frac{12}{4}$ , which simplifies to $d = 3$ .