4 3 q − 7 = 8 ∣ A dd 7 t o e a c h s i d e 4 3 q = 8 + 7 4 3 q = 15 ∣ ∗ 4 3 q = 15 ∗ 4 3 q = 60 ∣ : 3 Solution is q=20.
The **solution **to the **equation **3/4q - 7 = 8 is q = 20.
To solve the equation 3/4q - 7 = 8, follow these steps:
Step 1: **Add **7 to both sides of the equation to isolate the term containing the variable.
3/4q - 7 + 7 = 8 + 7
3/4q = 15
Step 2: **Multiply **both sides of the equation by the **reciprocal **of the coefficient of q, which is 4/3, to solve for q.
(4/3)(3/4q) = (4/3)(15)
1q = 60/3
q = 20
Step 3: Check the **solution **by substituting the value of q back into the original equation.
3/4(20) - 7 = 8
15 - 7 = 8
8 = 8
Since both sides are equal , the solution q = 20 is verified.
Therefore, the **solution **to the **equation **3/4q - 7 = 8 is q = 20.
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To solve 4 3 q − 7 = 8 , add 7 to both sides to isolate q , then multiply by the reciprocal of 4 3 to find q = 20 . Finally, check the solution by substituting back into the original equation. The solution is verified as correct.
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