Use the distributive property to help you solve the equation
7(w-5)=21
w=8
The distributive property means, in this case,
7(w-5) = 7w - 35
Therefore solve
7w - 35 = 21
7w = 56
w = 8
To solve the equation 7(w-5) = 21 using the distributive property, follow these steps:
1. Distribute the 7 to both terms inside the parentheses:
7 * w - 7 * 5 = 21
Simplify:
7w - 35 = 21
2. Add 35 to both sides of the equation to isolate the variable term:
7w - 35 + 35 = 21 + 35
Simplify:
7w = 56
3. Divide both sides of the equation by 7 to solve for w:
7w / 7 = 56 / 7
Simplify:
w = 8
So the solution to the equation 7(w-5) = 21 is w = 8.
To solve the equation using the distributive property, you need to distribute the 7 to each term inside the parentheses:
7(w - 5) = 21
7 * w - 7 * 5 = 21
7w - 35 = 21
Next, you need to isolate the variable w by performing operations that will eliminate the constant terms and simplify the equation. Let's add 35 to both sides of the equation to eliminate the -35 on the left side:
7w - 35 + 35 = 21 + 35
The -35 and +35 on the left side cancel out, leaving:
7w = 56
Finally, to solve for w, you divide both sides of the equation by 7:
7w/7 = 56/7
The 7 and 7 on the left side cancel out, leaving:
w = 8
Therefore, the solution to the equation is w = 8.