i am trying to simplify this equation
4m+9+5m-12=42
combine the m terms on the left. Add 3 to both sides.
4m+9+5m-12=42
Reorder the terms:
9 + -12 + 4m + 5m = 42
Combine like terms: 9 + -12 = -3
-3 + 4m + 5m = 42
Combine like terms: 4m + 5m = 9m
-3 + 9m = 42
The above was taken from algebrahelp.com.
To simplify the given equation: 4m + 9 + 5m - 12 = 42, follow these steps:
Step 1: Combine like terms on each side of the equation.
On the left side, combine the terms with 'm', which are 4m and 5m.
4m + 5m = 9m.
On the right side, combine the constants, which are 9 and -12.
9 - 12 = -3.
Step 2: Rewrite the equation with the simplified expression.
9m - 3 = 42.
Step 3: Isolate the variable 'm' by moving the constant term to the other side of the equation.
To do this, add 3 to both sides of the equation.
9m - 3 + 3 = 42 + 3.
On the left side, -3 and +3 will cancel out, leaving only 9m.
9m = 45.
Step 4: Solve for 'm' by dividing both sides of the equation by the coefficient of 'm'.
To isolate 'm', divide both sides by 9.
(9m)/9 = 45/9.
On the left side, 9m/9 simplifies to just 'm'.
m = 5.
Therefore, the solution to the equation 4m + 9 + 5m - 12 = 42 is m = 5.