Start with the equation: Start with the equation 12c−4=14c−10.To isolate the variable c, we need to get all the c terms on one side and the constant terms on the other side.
Subtract 12c from both sides: Subtract 12c from both sides to move the c terms to one side.12c−4−12c=14c−10−12cThis simplifies to:−4=2c−10
Add 10 to both sides: Add 10 to both sides to move the constant terms to the other side.−4+10=2c−10+10This simplifies to:6=2c
Divide both sides by 2: Divide both sides by 2 to solve for c.26=22cThis simplifies to:3=c
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