To simplify the expression \( 4(g - 2) + (g + 2) \), we can follow these steps using the properties of operations:
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Distribute \( 4 \) into the first term: \[ 4(g - 2) = 4g - 8 \]
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Rewrite the expression: \[ 4(g - 2) + (g + 2) = (4g - 8) + (g + 2) \]
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Combine like terms:
- Combine \( 4g \) and \( g \): \[ 4g + g = 5g \]
- Combine constants \( -8 \) and \( 2 \): \[ -8 + 2 = -6 \]
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Put it all together: \[ 5g - 6 \]
Thus, the simplified expression is \( 5g - 6 \).