Answer:
Simplified this is -304 + 38m = 52 + 26m
m in the equation is 29 2/3
Step-by-step explanation:
Reorder the terms:
19(-16 + 2m) = 13(2m + 4)
(-16 * 19 + 2m * 19) = 13(2m + 4)
(-304 + 38m) = 13(2m + 4)
Reorder the terms:
-304 + 38m = 13(4 + 2m)
-304 + 38m = (4 * 13 + 2m * 13)
-304 + 38m = (52 + 26m)
Simplfied answer:
-304 + 38m = 52 + 26m
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-26m' to each side of the equation.
-304 + 38m + -26m = 52 + 26m + -26m
Combine like terms: 38m + -26m = 12m
-304 + 12m = 52 + 26m + -26m
Combine like terms: 26m + -26m = 0
-304 + 12m = 52 + 0
-304 + 12m = 52
Add '304' to each side of the equation.
-304 + 304 + 12m = 52 + 304
Combine like terms: -304 + 304 = 0
0 + 12m = 52 + 304
12m = 52 + 304
Combine like terms: 52 + 304 = 356
12m = 356
Divide each side by '12'.
m = 29.66666667
Simplifying
m = 29.66666667 = 29 2/3
