Solve. 3(3z+5)=33 Answer: z= Submit Answer

Distribute 3: Distribute the 3 across the terms inside the parentheses. We need to multiply 3 by each term inside the parentheses (3z and 5). Calculation: 3 * 3z + 3 * 5 = 33 This simplifies to: 9z + 15 = 33Subtract 15: Subtract 15 from both sides of the equation to isolate the term with the variable z. We want to get z on one side of the equation by itself. Calculation: 9z + 15 - 15 = 33 - 15 This simplifies to: 9z = 18Divide by 9: Divide both sides of the equation by 9 to solve for z. We divide by 9 to find the value of z. Calculation: 9z / 9 = 18 / 9 This simplifies to: z = 2

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Math Problems

Grade 7

Solve two-step equations with parentheses

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Q. Solve.

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3(3 z+5)=33

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Answer:

z=

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Submit Answer

Distribute $3$ : Distribute the $3$ across the terms inside the parentheses. $\newline$ We need to multiply $3$ by each term inside the parentheses ( $3z$ and $5$ ). $\newline$ Calculation: $3 \times 3z + 3 \times 5 = 33$ $\newline$ This simplifies to: $9z + 15 = 33$
Subtract $15$ : Subtract $15$ from both sides of the equation to isolate the term with the variable $z$ . We want to get $z$ on one side of the equation by itself. Calculation: $9z + 15 - 15 = 33 - 15$ This simplifies to: $9z = 18$
Divide by $9$ : Divide both sides of the equation by $9$ to solve for $z$ . We divide by $9$ to find the value of $z$ . Calculation: $\frac{9z}{9} = \frac{18}{9}$ This simplifies to: $z = 2$