Question
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Tutor-Verified Answer
Answer
\( z = -48 \)
Solution
We start with the equation:
9 = -⅓ z - 7
Step 1: Add 7 to both sides to isolate the term with z.
9 + 7 = -⅓ z
16 = -⅓ z
Step 2: Multiply both sides by -3 to solve for z.
16 × (-3) = z
z = -48
Thus, the solution is z = -48.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Beyond the Answer
To solve for \( z \) in the equation \( 9=-\frac{1}{3} z-7 \), we first isolate the term involving \( z \): 1. Add \( 7 \) to both sides: \[ 9 + 7 = -\frac{1}{3} z \] \[ 16 = -\frac{1}{3} z \] 2. Now, to eliminate the negative fraction, multiply both sides by \( -3 \): \[ -3 \times 16 = z \] \[ z = -48 \] Thus, the solution is \( z = -48 \).