Answer :
Sure! Let's solve the equation step by step:
We have the equation:
[tex]\[ 5(4m + 1) - 2m = -13 \][/tex]
1. Distribute the 5 on the left side of the equation:
[tex]\[ 5 \times 4m + 5 \times 1 - 2m = 20m + 5 - 2m \][/tex]
2. Combine like terms on the left side (combine [tex]\(20m\)[/tex] and [tex]\(-2m\)[/tex]):
[tex]\[ 18m + 5 \][/tex]
So the equation becomes:
[tex]\[ 18m + 5 = -13 \][/tex]
3. Subtract 5 from both sides to isolate the term with [tex]\(m\)[/tex]:
[tex]\[ 18m + 5 - 5 = -13 - 5 \][/tex]
[tex]\[ 18m = -18 \][/tex]
4. Divide both sides by 18 to solve for [tex]\(m\)[/tex]:
[tex]\[ m = \frac{-18}{18} \][/tex]
5. Simplify the fraction:
[tex]\[ m = -1 \][/tex]
Therefore, the solution to the equation is [tex]\( m = -1 \)[/tex].
We have the equation:
[tex]\[ 5(4m + 1) - 2m = -13 \][/tex]
1. Distribute the 5 on the left side of the equation:
[tex]\[ 5 \times 4m + 5 \times 1 - 2m = 20m + 5 - 2m \][/tex]
2. Combine like terms on the left side (combine [tex]\(20m\)[/tex] and [tex]\(-2m\)[/tex]):
[tex]\[ 18m + 5 \][/tex]
So the equation becomes:
[tex]\[ 18m + 5 = -13 \][/tex]
3. Subtract 5 from both sides to isolate the term with [tex]\(m\)[/tex]:
[tex]\[ 18m + 5 - 5 = -13 - 5 \][/tex]
[tex]\[ 18m = -18 \][/tex]
4. Divide both sides by 18 to solve for [tex]\(m\)[/tex]:
[tex]\[ m = \frac{-18}{18} \][/tex]
5. Simplify the fraction:
[tex]\[ m = -1 \][/tex]
Therefore, the solution to the equation is [tex]\( m = -1 \)[/tex].
