Solve. 7(z-2)=28 Answer: z=

Distribute 7 to terms: Distribute the 7 to both terms inside the parentheses. We need to apply the distributive property, which states that a(b + c) = ab + ac. In this case, we have 7(z - 2), which becomes 7*z - 7*2. Calculation: 7z - 14Set up after distribution: Set up the equation after distribution. After distributing the 7, we have the equation 7z - 14 = 28.Add 14 to both sides: Add 14 to both sides of the equation to isolate the term with the variable z. We want to get z by itself on one side of the equation, so we need to undo the subtraction of 14 by adding 14 to both sides. Calculation: 7z - 14 + 14 = 28 + 14, which simplifies to 7z = 42.Divide by 7 for z: Divide both sides of the equation by 7 to solve for z. Now that we have 7z = 42, we can find z by dividing both sides by 7. Calculation: z = 42 / 7Calculate value of z: Calculate the value of z. Perform the division to find the value of z. Calculation: z = 6

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Solve. $\newline$ $7(z-2)=28$ $\newline$ Answer: $z=$

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Math Problems

Grade 7

Solve two-step equations with parentheses

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Q. Solve.

\newline

7(z-2)=28

\newline

Answer:

z=

Distribute $7$ to terms: Distribute the $7$ 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 have $7(z - 2)$ , which becomes $7\cdot z - 7\cdot 2$ . $\newline$ Calculation: $7z - 14$
Set up after distribution: Set up the equation after distribution. $\newline$ After distributing the $7$ , we have the equation $7z - 14 = 28$ .
Add $14$ to both sides: Add $14$ to both sides of the equation to isolate the term with the variable $z$ . We want to get $z$ by itself on one side of the equation, so we need to undo the subtraction of $14$ by adding $14$ to both sides. Calculation: $7z - 14 + 14 = 28 + 14$ , which simplifies to $7z = 42$ .
Divide by $7$ for $z$ : Divide both sides of the equation by $7$ to solve for $z$ . Now that we have $7z = 42$ , we can find $z$ by dividing both sides by $7$ . Calculation: $z = \frac{42}{7}$
Calculate value of z: Calculate the value of z. Perform the division to find the value of z. Calculation: $z = 6$