To solve the equation [tex]\(2(h + 3.5) = -11\)[/tex], let's proceed step-by-step:
1. Expand the left side of the equation:
Distribute the 2 to both [tex]\(h\)[/tex] and 3.5.
[tex]\[
2h + 2 \cdot 3.5 = -11
\][/tex]
Simplifying the multiplication:
[tex]\[
2h + 7 = -11
\][/tex]
2. Isolate the term with [tex]\(h\)[/tex]:
Subtract 7 from both sides of the equation to move the constant term to the right side.
[tex]\[
2h + 7 - 7 = -11 - 7
\][/tex]
Simplifying both sides:
[tex]\[
2h = -18
\][/tex]
3. Solve for [tex]\(h\)[/tex]:
Divide both sides by 2 to isolate [tex]\(h\)[/tex].
[tex]\[
\frac{2h}{2} = \frac{-18}{2}
\][/tex]
Simplifying the division:
[tex]\[
h = -9
\][/tex]
So, the solution to the equation [tex]\(2(h + 3.5) = -11\)[/tex] is:
[tex]\[
h = -9
\][/tex]
