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Answer :
Certainly! Let's solve the equation step-by-step:
We have the equation:
[tex]\[ 5(4m + 1) - 2m = -13 \][/tex]
1. Distribute the 5 in the first term:
Multiply 5 by each term inside the parentheses:
[tex]\[ 5 \times 4m + 5 \times 1 = 20m + 5 \][/tex]
2. Substitute back into the equation:
Now the equation becomes:
[tex]\[ 20m + 5 - 2m = -13 \][/tex]
3. Combine like terms:
Combine [tex]\(20m\)[/tex] and [tex]\(-2m\)[/tex]:
[tex]\[ 18m + 5 = -13 \][/tex]
4. Subtract 5 from both sides:
To isolate the term with m, subtract 5 from both sides:
[tex]\[ 18m = -13 - 5 \][/tex]
[tex]\[ 18m = -18 \][/tex]
5. Divide both sides by 18 to solve for [tex]\(m\)[/tex]:
[tex]\[ m = \frac{-18}{18} \][/tex]
6. Simplify the fraction:
[tex]\[ m = -1 \][/tex]
So, 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 in the first term:
Multiply 5 by each term inside the parentheses:
[tex]\[ 5 \times 4m + 5 \times 1 = 20m + 5 \][/tex]
2. Substitute back into the equation:
Now the equation becomes:
[tex]\[ 20m + 5 - 2m = -13 \][/tex]
3. Combine like terms:
Combine [tex]\(20m\)[/tex] and [tex]\(-2m\)[/tex]:
[tex]\[ 18m + 5 = -13 \][/tex]
4. Subtract 5 from both sides:
To isolate the term with m, subtract 5 from both sides:
[tex]\[ 18m = -13 - 5 \][/tex]
[tex]\[ 18m = -18 \][/tex]
5. Divide both sides by 18 to solve for [tex]\(m\)[/tex]:
[tex]\[ m = \frac{-18}{18} \][/tex]
6. Simplify the fraction:
[tex]\[ m = -1 \][/tex]
So, the solution to the equation is:
[tex]\( m = -1 \)[/tex]
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