Question

Solve the equation. Check your answer. Use the distributive property
6(3m+5)=66
11
2
18
30

Answer 1

To solve the equation, we can distribute the 6 to the terms inside the parentheses:

6(3m+5) = 66
18m + 30 = 66

Next, we can isolate the variable term by subtracting 30 from both sides of the equation:

18m + 30 - 30 = 66 - 30
18m = 36

To solve for m, we can divide both sides of the equation by 18:

18m/18 = 36/18
m = 2

To check our answer, we substitute m = 2 back into the original equation:

6(3m+5) = 66
6(3(2)+5) = 66
6(6+5) = 66
6(11) = 66
66 = 66

The equation is true when m = 2, so our solution is correct. The answer is m = 2.