Solve for k. 18 = 3(k + 1) k = _____

Identify Equation: Identify the equation to solve for k. The given equation is 18 = 3(k + 1).Distribute 3: Distribute the 3 to both terms inside the parentheses. 3(k + 1) becomes 3*k + 3*1, which simplifies to 3k + 3. So, the equation now is 18 = 3k + 3.Subtract 3: Subtract 3 from both sides of the equation to isolate the term with k. 18 - 3 = 3k + 3 - 3 This simplifies to 15 = 3k.Divide by 3: Divide both sides of the equation by 3 to solve for k. 15 / 3 = 3k / 3 This simplifies to 5 = k.

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Math Problems

Grade 7

Solve two-step equations with parentheses

Full solution

Q. Solve for

k

\newline

18 = 3(k + 1)

Identify Equation: Identify the equation to solve for $k$ . The given equation is $18 = 3(k + 1)$ .
Distribute $3$ : Distribute the $3$ to both terms inside the parentheses. $\newline$ $3(k + 1)$ becomes $3\cdot k + 3\cdot 1$ , which simplifies to $3k + 3$ . $\newline$ So, the equation now is $18 = 3k + 3$ .
Subtract $3$ : Subtract $3$ from both sides of the equation to isolate the term with $k$ . $\newline$ $18 - 3 = 3k + 3 - 3$ $\newline$ This simplifies to $15 = 3k$ .
Divide by $3$ : Divide both sides of the equation by $3$ to solve for $k$ . $\frac{15}{3} = \frac{3k}{3}$ This simplifies to $5 = k$ .