To evaluate the expression \( 3a - 2b + 5c \) with the given values \( a = 4 \), \( b = 2 \), and \( c = 8 \), follow these steps:
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Substitute the values into the expression: \[ 3(4) - 2(2) + 5(8) \]
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Calculate each term: \[ 3(4) = 12 \] \[ -2(2) = -4 \] \[ 5(8) = 40 \]
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Now combine these results: \[ 12 - 4 + 40 \]
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Perform the addition and subtraction: \[ 12 - 4 = 8 \] \[ 8 + 40 = 48 \]
Therefore, the value of the expression is \( \boxed{48} \).