SOLUTION: M+3(m-4)=16 Now I know the answer is m=7 because my sister told me but I need to know how She came up with that now she did say m is 1 I am confused can you help me

Algebra ->  Linear-equations -> SOLUTION: M+3(m-4)=16 Now I know the answer is m=7 because my sister told me but I need to know how She came up with that now she did say m is 1 I am confused can you help me      Log On


   

Question 404792: M+3(m-4)=16 Now I know the answer is m=7 because my sister told me but I need to know how She came up with that now she did say m is 1 I am confused can you help me
Found 2 solutions by IWork4Dessert, rfer:
Answer by IWork4Dessert(60) About Me  (Show Source):
You can put this solution on YOUR website!
The most important thing to remember here is PEMDAS. Its the order of equations acronym.
PEMDAS
P: parentheses
E: exponents
M: multiplication
D: division
A: addition
S: subtraction
If you start solving the equation in that order, you'll be fine. Here's how you do it.
m+3(m-4)=16
Now you distribute the 3 throughout the parentheses(P). Multiply both things inside the parentheses by the number on the outside.
m+(3m-12)=16
You don't need the parentheses anymore since you've finished distributing.
m+3m-12=16
Since you have two "m" variables in your equation, you can combine them. Just add them together.
4m-12=16
You can now add that "-12" to the other side. You want to isolate the variable, the letter, on one side, so you can solve for it.
4m-12=16
+12 +12
4m=28
Now you divide both sides by the number next to the variable, to get rid of it.
4m=28
÷4 ÷4
And there's your answer.
m=7

Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
m+3m-12=16
add 12 to both sides
4m=28
divide by 4
m=7