To solve the equation \( 8(c - 3) = 12c \), follow these steps:
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Distribute the \( 8 \) on the left side:
\[ 8c - 24 = 12c \]
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Next, isolate the variable \( c \) by getting all terms involving \( c \) on one side and constant terms on the other side. Subtract \( 8c \) from both sides:
\[ -24 = 12c - 8c \]
This simplifies to:
\[ -24 = 4c \]
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Now, solve for \( c \) by dividing both sides by \( 4 \):
\[ c = \frac{-24}{4} \]
This simplifies to:
\[ c = -6 \]
So, the solution is \( c = -6 \).