Answer :
Answer: [tex]m[/tex] = −3
Step-by-step explanation:
Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.
Step 1: Expand.
−40 − 6[tex]m[/tex] − 1 = 7[tex]m[/tex] − 2
Step 2: Simplify −40 − 6[tex]m[/tex] − 1 to −6[tex]m[/tex] − 41.
−6[tex]m[/tex] − 41 = 7[tex]m[/tex] − 2
Step 3: Add 6[tex]m[/tex] to both sides.
−41 = 7[tex]m[/tex] − 2 + 6[tex]m[/tex]
Step 4: Simplify 7[tex]m[/tex] − 2 + 6[tex]m[/tex] to 13[tex]m[/tex] − 2.
−41 = 13[tex]m[/tex] − 2
Step 5: Add 2 to both sides
−41 + 2 = 13[tex]m[/tex]
Step 6: Simplify −41 + 2 to −39.
−39 = 13[tex]m[/tex]
Step 7: Divide both sides by 13.
−[tex]\frac{39}{13}[/tex] = [tex]m[/tex]
Step 8: Simplify [tex]\frac{39}{13}[/tex] to 3.
−3 = m
Step 9: Switch sides.
[tex]m[/tex] = −3
~I hope I helped you! :)~