Answer :
To determine which equation is equivalent to the given equation:
[tex]\[ 7m + 11 = -4(2m + 3) \][/tex]
we can follow these steps to simplify and solve the equation:
1. Distribute the [tex]\(-4\)[/tex] on the right side of the equation:
[tex]\[ 7m + 11 = -4 \cdot 2m - 4 \cdot 3 \][/tex]
This simplifies to:
[tex]\[ 7m + 11 = -8m - 12 \][/tex]
2. Move all terms involving [tex]\(m\)[/tex] to the left side and constant terms to the right side:
[tex]\[ 7m + 8m = -12 - 11 \][/tex]
3. Combine like terms:
[tex]\[ 15m = -23 \][/tex]
Thus, the simplified equation is:
[tex]\[ 15m = -23 \][/tex]
So the correct answer is:
[tex]\[ \boxed{15m = -23} \][/tex]
This matches option B.
[tex]\[ 7m + 11 = -4(2m + 3) \][/tex]
we can follow these steps to simplify and solve the equation:
1. Distribute the [tex]\(-4\)[/tex] on the right side of the equation:
[tex]\[ 7m + 11 = -4 \cdot 2m - 4 \cdot 3 \][/tex]
This simplifies to:
[tex]\[ 7m + 11 = -8m - 12 \][/tex]
2. Move all terms involving [tex]\(m\)[/tex] to the left side and constant terms to the right side:
[tex]\[ 7m + 8m = -12 - 11 \][/tex]
3. Combine like terms:
[tex]\[ 15m = -23 \][/tex]
Thus, the simplified equation is:
[tex]\[ 15m = -23 \][/tex]
So the correct answer is:
[tex]\[ \boxed{15m = -23} \][/tex]
This matches option B.
