Solve for k. 2(k + 7) = 20 k = _____

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 k and 7. Calculation: 2 * k + 2 * 7 = 2k + 14Set up equation: Set up the equation after distribution. The equation after distributing the 2 is 2k + 14 = 20.Subtract 14: Subtract 14 from both sides of the equation to isolate the term with k. We want to get k on one side of the equation by itself, so we need to remove the 14 from the left side. Calculation: 2k + 14 - 14 = 20 - 14, which simplifies to 2k = 6.Divide by 2: Divide both sides of the equation by 2 to solve for k. To find the value of k, we divide both sides of the equation by 2. Calculation: 2k / 2 = 6 / 2, which simplifies to k = 3.

Home

Math Problems

Grade 7

Solve two-step equations with parentheses

Full solution

Q. Solve for

k

\newline

2(k + 7) = 20

\newline

k =

_____

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 $k$ and $7$ . $\newline$ Calculation: $2 \times k + 2 \times 7 = 2k + 14$
Set up equation: Set up the equation after distribution. $\newline$ The equation after distributing the $2$ is $2k + 14 = 20$ .
Subtract $14$ : Subtract $14$ from both sides of the equation to isolate the term with $k$ . We want to get $k$ on one side of the equation by itself, so we need to remove the $14$ from the left side. Calculation: $2k + 14 - 14 = 20 - 14$ , which simplifies to $2k = 6$ .
Divide by $2$ : Divide both sides of the equation by $2$ to solve for $k$ . To find the value of $k$ , we divide both sides of the equation by $2$ . Calculation: $\frac{2k}{2} = \frac{6}{2}$ , which simplifies to $k = 3$ .