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3(z+6)=33
Answer:
z=

Solve. $\newline$ $3(z+6)=33$ $\newline$ Answer: $z=$

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Solve two-step equations with parentheses

Full solution

Q. Solve.

\newline

3(z+6)=33

\newline

Answer:

z=

Distribute Terms: Distribute the $3$ to both terms inside the parentheses. $\newline$ We need to apply the distributive property, which states that $a(b + c) = ab + ac$ . In this case, we distribute $3$ to both $z$ and $6$ . $\newline$ $3(z) + 3(6) = 33$ $\newline$ $3z + 18 = 33$
Subtract $18$ : Subtract $18$ from both sides of the equation to isolate the term with the variable $z$ . To solve for $z$ , we need to get $z$ on one side of the equation by itself. We do this by subtracting $18$ from both sides. $3z + 18 - 18 = 33 - 18$ $3z = 15$
Divide by $3$ : Divide both sides of the equation by $3$ to solve for $z$ . Now that we have $3z = 15$ , we divide both sides by $3$ to find the value of $z$ . $\frac{3z}{3} = \frac{15}{3}$ $z = 5$

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