What value will make the equation 3m+54−3m4=−2 true? Write your answer as a fraction.(1 point)The value for m that makes the equation true is m=.
To solve the equation 3m + 54 - 3m/4 = -2, we can combine like terms and isolate the variable m.
First, let's get rid of the fraction by multiplying both sides of the equation by 4:
4*(3m) + 4*54 - (3m/4) * 4 = -2 * 4
12m + 216 - 3m = -8
Next, let's combine like terms:
12m - 3m + 216 = -8
9m + 216 = -8
Subtract 216 from both sides of the equation:
9m + 216 - 216 = -8 - 216
9m = -224
Finally, divide both sides of the equation by 9 to solve for m:
9m/9 = -224/9
m = -224/9
Therefore, the value for m that makes the equation true is m = -224/9.