# How do you solve for h in #a= ch + f #?

We work to isolate the variable we want by doing the same operation to both sides of our equation arriving at

We work to isolate the variable we want by doing the same operation to both sides of our equation. In this case, we can also start by writing the equation in a different order, writing the right-hand-side first, which doesn't change the equality:

which simplifies to

Which simplifies to

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To solve for ( h ) in the equation ( a = ch + f ), you first isolate the term containing ( h ) by subtracting ( f ) from both sides of the equation. Then, divide both sides by ( c ) to solve for ( h ). The equation would look like this:

[ h = \frac{a - f}{c} ]

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