Simplify and solve this equation: 4m + 9 + 5m - 12=42
4m + 9 + 5m -12 = 42
9m - 3 = 42
9m = 45
m = 5
To solve this equation, we will combine like terms and isolate the variable term on one side of the equation.
Given equation: 4m + 9 + 5m - 12 = 42
First, let's combine the like terms. By adding the coefficients of m, we get:
(4m + 5m) + 9 - 12 = 42
9m - 3 = 42
Next, we want to isolate the variable term on one side of the equation. To do that, we can move the constant term (-3) to the other side by adding 3 to both sides of the equation:
9m - 3 + 3 = 42 + 3
9m = 45
Finally, to solve for m, we need to isolate the variable by dividing both sides of the equation by the coefficient of m (9):
(9m)/9 = 45/9
m = 5
Therefore, the solution to the equation is m = 5.