Final answer:
To solve the equation 3/4 q - 7 = 14, you can use inverse operations. Start by adding 7 to both sides to eliminate the constant term. Then, multiply both sides by the reciprocal of the coefficient of q, which is 4/3, to cancel out the coefficient. This will give you the value of q.
Step-by-step explanation:
To solve the equation 3/4 q - 7 = 14, you can use inverse operations. The goal is to isolate the variable q on one side of the equation. Start by adding 7 to both sides to eliminate the constant term. Then, multiply both sides by the reciprocal of the coefficient of q, which is 4/3, to cancel out the coefficient. This will give you the value of q.
Step 1: Add 7 to both sides: 3/4 q - 7 + 7 = 14 + 7
Step 2: Simplify: 3/4 q = 21
Step 3: Multiply both sides by the reciprocal of 3/4 (which is 4/3): (4/3) * (3/4) q = 21 * (4/3)
Step 4: Simplify: 1q = 28
Step 5: Solve for q: q = 28