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Sagot :
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]
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]
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