Bot GPT 4-o mini To solve the equation \( 3(22 - 4) = 7 - (z + 5) \), we will follow the steps of simplification and solving for \( z \).
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Simplify the left side of the equation:
We first calculate \( 22 - 4 \): \[ 22 - 4 = 18 \] Now, multiply by 3: \[ 3 \times 18 = 54 \] So, the left side becomes: \[ 3(22 - 4) = 54 \]
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Simplify the right side of the equation:
We need to simplify \( 7 - (z + 5) \): \[ 7 - (z + 5) = 7 - z - 5 = 2 - z \]
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Set the simplified sides equal to each other: Now that we have both sides simplified, we rewrite the equation: \[ 54 = 2 - z \]
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Solve for \( z \): To isolate \( z \), we first subtract 2 from both sides: \[ 54 - 2 = -z \] \[ 52 = -z \] Now, multiply both sides by -1 to solve for \( z \): \[ z = -52 \]
So, the final solution is: \[ z = -52 \]
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