Final answer:
To solve the equation, distribute the -0.4 to both terms inside the parentheses, then isolate m by adding 1.2 to both sides and dividing both sides by -0.4. The solution is m = -13.
Step-by-step explanation:
To solve the equation −0.4(m+3)=4 for m, we need to isolate m. First, we can distribute the -0.4 to both terms inside the parentheses:
−0.4m - 0.4(3) = 4
−0.4m - 1.2 = 4
Next, we can add 1.2 to both sides of the equation:
−0.4m = 4 + 1.2
−0.4m = 5.2
Finally, we can solve for m by dividing both sides of the equation by -0.4:
m = 5.2 / -0.4
m = -13