I am stumped about the order of the steps to follow on the right side of a 2-step math equation that I have for homework tonight:
2(6d+3)=18-3(16-3d)
Do I multiply -3 times 16 and -3 times -3d or do I isolate the minus/negative sign and multiply 3 times 16 and 3 times -3d?
multipy through both parent.
12d+6=18-48+9d is a good way to start. Think out why this is so.
i think bobpursley is right or u go to
These sites might be helpful in the future.
http://www.mathgoodies.com/lessons/vol7/order_operations.html
http://mathforum.org/dr.math/faq/faq.order.operations.html
http://www.math.com/school/subject2/lessons/S2U1L2GL.html
I hope this helps a little more. Thanks for asking.
To solve a 2-step equation, you need to follow the order of operations. This means that you should first simplify any expressions within parentheses, then perform any multiplication or division, and finally add or subtract.
In your equation, 2(6d + 3) = 18 - 3(16 - 3d), you should start by simplifying the expressions within parentheses on both sides.
On the left side of the equation, you have 2 multiplied by (6d + 3). To simplify this, you need to multiply 2 by each term inside the parentheses. So, you get 2 * 6d + 2 * 3, which simplifies to 12d + 6.
On the right side of the equation, you have 18 minus 3 multiplied by (16 - 3d). Again, you need to multiply -3 by each term inside the parentheses. So, you get 18 - 3 * 16 + 3 * 3d.
Now you can combine like terms on both sides of the equation. On the right side, you have 18 - 48 + 9d, which simplifies to -30 + 9d.
Therefore, the original equation becomes: 12d + 6 = -30 + 9d.
Now you can isolate the variable terms on one side and the constant terms on the other side. To do this, you can subtract 9d from both sides of the equation. This gives you: 12d - 9d + 6 = -30 + 9d - 9d.
Simplifying further, you have 3d + 6 = -30.
Finally, subtract 6 from both sides of the equation to isolate the variable term. This gives you: 3d + 6 - 6 = -30 - 6.
Simplifying further, you get 3d = -36.
To find the value of d, divide both sides of the equation by 3. This gives you: 3d/3 = -36/3.
Simplifying further, you have d = -12.
Therefore, the solution to the equation 2(6d + 3) = 18 - 3(16 - 3d) is d = -12.
Note: The websites you mentioned can provide further explanations and examples of order of operations if you need additional help or practice.