Let's solve the equation step-by-step:
The given equation is:
[tex]\[ 3a + 4 = -11 - 2a \][/tex]
1. First, we'll move all terms involving [tex]\(a\)[/tex] to one side of the equation and constants to the other side. To do this, add [tex]\(2a\)[/tex] to both sides:
[tex]\[ 3a + 4 + 2a = -11 - 2a + 2a \][/tex]
2. This simplifies to:
[tex]\[ 5a + 4 = -11 \][/tex]
3. Next, subtract 4 from both sides to isolate the [tex]\(5a\)[/tex] term:
[tex]\[ 5a + 4 - 4 = -11 - 4 \][/tex]
4. This simplifies to:
[tex]\[ 5a = -15 \][/tex]
5. Finally, divide both sides by 5 to solve for [tex]\(a\)[/tex]:
[tex]\[ a = \frac{-15}{5} \][/tex]
6. Simplify the fraction:
[tex]\[ a = -3 \][/tex]
The solution to the equation [tex]\(3a + 4 = -11 - 2a\)[/tex] is:
[tex]\[ a = -3 \][/tex]
