Answer:
[tex] \sf \: h = \frac{3}{8} \\ [/tex]
Step-by-step explanation:
[tex] \sf0.5(6h - 4) = - 5h + 1[/tex]
First, solve the brackets.
[tex] \sf3h - 2 = - 5h + 1[/tex]
To remove -2 add 2 to both sides.
[tex] \sf3h - 2 + 2 = - 5h + 1 + 2 \\ \sf 3h = - 5h + 3[/tex]
Take -5h to the left side.
[tex] \sf3h + 5h = 3 \\ \\ \sf combine \: like \: terms\: \\ \\ \sf8h = 3 \\ \\ \sf divide \: both \: sides \: by \: 8\\ \\ \sf \frac{8h}{8} = \frac{3}{8} \\ \\ \sf \: h = \frac{3}{8} [/tex]
