1. Let's first state the problem: you asked why the expression \(12g - 4h\) would become a plus sign in some context. 2. The expression \(12g - 4h\) involves a minus sign between \(12g\) and \(4h\). To change it to a plus sign, something must have altered the signs in the expression. 3. One common reason is factoring by \(-1\) or distributing a negative sign across the terms. 4. For example, if we start with \(-(12g - 4h)\), distributing the negative sign inside the parentheses yields: $$-(12g - 4h) = -12g + 4h$$ 5. Here, the minus changes to a plus when the negative sign is distributed, because \(-(-4h) = +4h\). 6. So the expression changes from \(12g - 4h\) to \(-12g + 4h\); the minus between the terms becomes a plus for the second term due to the double negative. 7. This is why sometimes a minus sign in an expression can change to a plus sign after distributing a negative or factoring. Final answer: The \(12g - 4h\) becomes \(-12g + 4h\) when multiplied by \(-1\), changing the minus to a plus for the second term.