Answer:
![h = 5](https://img.qammunity.org/2022/formulas/mathematics/high-school/xbmxnby1b9m6e25q9dfbmig1xydciuo81i.png)
Explanation:
Solve the equations:
![(6)/(8) - (h)/(8) = (1)/(8)](https://img.qammunity.org/2022/formulas/mathematics/high-school/gfgaq2p657svybtnryrmj58wmox44wzr0b.png)
Reduce fractions to the lowest term by canceling the greatest common factor:
![(3)/(4) - (h)/(8) = (1)/(8)](https://img.qammunity.org/2022/formulas/mathematics/high-school/dxwk30gj3v6fq6nr181a6kxgnf92ybnsbc.png)
Rerreange unknown terms to the left side of the equation:
![- (h)/(8) = (1)/(8) - (3)/(4)](https://img.qammunity.org/2022/formulas/mathematics/high-school/20z7jhlc7l3og9y1oto8k4992w298ke0er.png)
Find the common denominator and write the numerator above common denominator:
![- (h)/(8) = (1 - 6)/(8)](https://img.qammunity.org/2022/formulas/mathematics/high-school/r7bi8ghu90cz164j0sqqis7iix5muiekhg.png)
Calculate the sum or difference:
![- (h)/(8) = ( - 5)/(8)](https://img.qammunity.org/2022/formulas/mathematics/high-school/sub2ckx53tno8835v6xw6ay2a6t226wx9d.png)
Reduce the greatest common factor on both sides of the equation:
![- h = - 5](https://img.qammunity.org/2022/formulas/mathematics/high-school/rg2r5v3rbtgi2thuczc57l8ilsl1nezp2m.png)
Divide both sides of the equation by the coefficient variable:
![h = 5](https://img.qammunity.org/2022/formulas/mathematics/high-school/xbmxnby1b9m6e25q9dfbmig1xydciuo81i.png)