\(\frac{5}{6} h\) - \(\frac{7}{12}\) = \(-\frac{3}{4} h\) - \(\frac{13}{6}\)
First, simplify \(\frac{5}{6} h\) to \(\frac{5h}{6}\) / Your problem should look like: \(\frac{5h}{6}\) - \(\frac{7}{12}\) = \(-\frac{3}{4} h\) - \(\frac{13}{6}\)
Second, simplify \(\frac{3}{4} h\) to \(\frac{3h}{4}\) / Your problem should look like: \(\frac{5h}{6}\) - \(\frac{7}{12}\) = \(- \frac{3h}{4}\) - \(\frac{13}{6}\)
Third, multiply both sides by 12, which is the LCM of 6 and 4. / Your problem should look like: 10h - 7 = -9h - 26
Fourth, add 9h to both sides. / Your problem should look like: 10h - 7 + 9h = -26
Fifth, simplify 10h - 7 + 9h to 19h - 7 / Your problem should look like: 19h - 7 = -26
Sixth, add 7 to both sides. / Your problem should look like: 19h = -26 + 7
Seventh, simplify -26 + 7 to -19. / Your problem should look like: 19h = -19
Eighth, divide both sides by 19. / Your problem should look like: h = \(- \frac{19}{19}\)
Ninth, cancel out 19. / Your problem should look like: h = -1
Answer: h = -1
