To solve the equation 0.5(m + 4) = 3(m - 1), we'll start by distributing the 0.5 and 3.
0.5m + 2 = 3m - 3
Next, we'll get all the terms with m on one side of the equation and the constant terms on the other side.
0.5m - 3m = -3 - 2
Combining the like terms:
-2.5m = -5
Now, divide both sides of the equation by -2.5 to solve for m:
m = -5 / -2.5
Simplifying, we get:
m = 2
0.5(m + 4) = 3(m – 1)
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