To simplify the expression \( 5(-c - c - 1) - 4c \), first combine the terms inside the parentheses:
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Combine the like terms: \[ -c - c = -2c \] So, \[ -c - c - 1 = -2c - 1 \]
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Now substitute this back into the expression: \[ 5(-2c - 1) - 4c \]
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Distribute the 5: \[ 5 \cdot (-2c) + 5 \cdot (-1) - 4c = -10c - 5 - 4c \]
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Now combine the like terms \( -10c - 4c \): \[ -10c - 4c = -14c \]
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So the final simplified expression is: \[ -14c - 5 \]
Therefore, the simplest form of the expression is: \[ -14c - 5 \]