Question

Solve for w .
12(3w+8)=25
Please explain how you got the answer.

Answer 1

To solve the equation 0.12(3w+8)=25, distribute the 0.12, subtract 0.96 from both sides, and then divide by 0.36 to find that w is approximately 66.78.

Step-by-step explanation:

To solve for w in the equation 0.12(3w+8)=25, we have to follow some basic algebra steps. First, we need to distribute the 0.12 into the parentheses:

1. Multiply 0.12 by both 3w and 8 to get 0.36w + 0.96.
2. Now we have the equation 0.36w + 0.96 = 25.
3. Subtract 0.96 from both sides to isolate the term with w: 0.36w = 25 - 0.96.
4. Perform the subtraction on the right side: 0.36w = 24.04.
5. Finally, divide both sides by 0.36 to solve for w: w = 24.04 / 0.36.
6. Calculating the division gives us w ≈ 66.78.

Hence, the value of w is approximately 66.78.