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

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 - 14 = 28Add 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 = 42Divide by 7: 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: 7z / 7 = 42 / 7, which simplifies to z = 6

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Grade 7

Solve two-step equations with parentheses

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Q. Solve.

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7(z-2)=28

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Answer:

z=

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Submit Answer

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: $7z - 14 = 28$
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 $7$ : 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: $\frac{7z}{7} = \frac{42}{7}$ , which simplifies to $z = 6$