Questions: Add or subtract and write the result in standard form. 6 z - [4 z - (10 z + 3)]

Add or subtract and write the result in standard form. 6 z - [4 z - (10 z + 3)]
Transcript text: Add or subtract and write the result in standard form. \[ 6 z-[4 z-(10 z+3)] \]
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Solution

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Solution Steps

Step 1: Remove the innermost parentheses

Start by simplifying the innermost expression inside the brackets: \[ 6z - [4z - (10z + 3)] \] Remove the parentheses around \(10z + 3\): \[ 6z - [4z - 10z - 3] \]

Step 2: Simplify the expression inside the brackets

Combine like terms inside the brackets: \[ 4z - 10z = -6z \] So the expression becomes: \[ 6z - [-6z - 3] \]

Step 3: Distribute the negative sign

Distribute the negative sign to remove the brackets: \[ 6z + 6z + 3 \]

Step 4: Combine like terms

Combine the like terms: \[ 6z + 6z = 12z \] So the final expression in standard form is: \[ 12z + 3 \]

Final Answer

\(\boxed{12z + 3}\)

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