Let's solve the equation step-by-step:
[tex]\[ 17 + 4h + 2 = 1 - 5h \][/tex]
1. Combine like terms on the left-hand side (LHS):
[tex]\[ 17 + 2 + 4h = 19 + 4h \][/tex]
So the equation becomes:
[tex]\[ 19 + 4h = 1 - 5h \][/tex]
2. Move all terms involving [tex]\(h\)[/tex] to one side and constant terms to the other side:
[tex]\[ 19 + 4h + 5h = 1 - 5h + 5h \][/tex]
Simplifying both sides:
[tex]\[ 19 + 9h = 1 \][/tex]
3. Isolate the term with [tex]\(h\)[/tex]:
Subtract 19 from both sides of the equation:
[tex]\[ 19 + 9h - 19 = 1 - 19 \][/tex]
Simplifying further:
[tex]\[ 9h = -18 \][/tex]
4. Solve for [tex]\(h\)[/tex]:
Divide both sides by 9:
[tex]\[ h = \frac{-18}{9} \][/tex]
Simplifying the fraction:
[tex]\[ h = -2 \][/tex]
Therefore, the solution is:
[tex]\[ h = -2 \][/tex]
