Solve for n. 2(n + 5) = 16 n = _____

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 both n and 5. 2(n + 5) becomes 2*n + 2*5, which simplifies to 2n + 10.Subtract 10: Subtract 10 from both sides of the equation to isolate the term with the variable n. We want to get n by itself on one side of the equation, so we subtract 10 from both sides. 2n + 10 - 10 = 16 - 10 simplifies to 2n = 6.Divide by 2: Divide both sides of the equation by 2 to solve for n. To find the value of n, we divide both sides of the equation by 2. 2n / 2 = 6 / 2 simplifies to n = 3.

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Math Problems

Grade 7

Solve two-step equations with parentheses

Full solution

Q. Solve for

n

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2(n + 5) = 16

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n =

_____

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 both $n$ and $5$ . $\newline$ $2(n + 5)$ becomes $2\cdot n + 2\cdot 5$ , which simplifies to $2n + 10$ .
Subtract $10$ : Subtract $10$ from both sides of the equation to isolate the term with the variable $n$ . We want to get $n$ by itself on one side of the equation, so we subtract $10$ from both sides. $2n + 10 - 10 = 16 - 10$ simplifies to $2n = 6$ .
Divide by $2$ : Divide both sides of the equation by $2$ to solve for $n$ . To find the value of $n$ , we divide both sides of the equation by $2$ . $\frac{2n}{2} = \frac{6}{2}$ simplifies to $n = 3$ .