To solve the linear equation [tex]\(4b + 6 = 2 - b + 4\)[/tex], follow these steps:
1. Start with the given equation:
[tex]\[
4b + 6 = 2 - b + 4
\][/tex]
2. Combine like terms on the right side:
[tex]\[
4b + 6 = 6 - b
\][/tex]
3. Add [tex]\(b\)[/tex] to both sides to eliminate the variable on the right:
[tex]\[
4b + b + 6 = 6
\][/tex]
4. Simplify the equation:
[tex]\[
5b + 6 = 6
\][/tex]
5. Subtract 6 from both sides to isolate the term with the variable:
[tex]\[
5b = 0
\][/tex]
6. Divide both sides by 5 to solve for [tex]\(b\)[/tex]:
[tex]\[
b = 0
\][/tex]
Therefore, the solution to the equation is [tex]\(b = 0\)[/tex]. The correct answer is:
[tex]\[
\boxed{0}
\][/tex]
