3/7 (4m-18) = 12
3/7 (4m-18) = 12
4m-18 = 12*7/3
4m-18 = 28
4m = 46
m = 46/4 = 23/2 or 11 1/2 or 11.5
3/7 (4m-18) = 12
first you expand it
12/7m - 54/7 = 12
12/7m = 138/7
12m = 138
m = 11.5
To solve this equation, you need to isolate the variable "m" by following the steps given below:
Step 1: Distribute the fraction '3/7' to the expression '(4m-18)'. This means multiplying each term inside the parentheses by '3/7'.
(3/7) * (4m) - (3/7) * (18) = 12
Simplifying this expression gives:
(12/7)m - (54/7) = 12
Step 2: Next, we want to get rid of the fraction, so we multiply both sides of the equation by the reciprocal of the fraction's coefficient, which in this case is '7/12'.
[(7/12) * (12/7)m] - [(7/12) * (54/7)] = (7/12) * 12
On simplifying, the equation becomes:
m - (54/12) = 7
Step 3: Now, let's simplify further the fraction -(54/12) by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 6.
m - (9/2) = 7
Step 4: To isolate the variable 'm', we can add (9/2) to both sides of the equation.
m - (9/2) + (9/2) = 7 + (9/2)
On simplification:
m = (14/2) + (9/2) = 23/2
So, the solution to the equation is m = 23/2.