Answer:
m = -325
Explanation:
To solve for the value of m in the equation 0.2m = -13(m + 330), we can use the distributive property of multiplication to simplify the right-hand side of the equation:
0.2m = -13m - 4290
Next, we can combine the like terms by adding 13m to both sides:
0.2m + 13m = -4290
Simplifying the left-hand side:
13.2m = -4290
Finally, we can solve for m by dividing both sides by 13.2:
m = -4290/13.2
Using a calculator or simplifying the fraction, we get:
m ≈ -325. Moreover, we can verify our answer by substituting m = -325 back into the original equation and checking that it satisfies the equation.