i keep getting stuck on the bottom of the question it's so confusing.
the question is 4a + -2 (1a + 9) = 6
i need help i
4a + -2 (1a + 9) = 6
4a - 2a - 18 = 6
2a = 24
a = ?
P E M D A S
Parentheses ... there are some, but what's inside is already in simplest form
Exponents ... none
Multiplication ... the -2 is multiplied (distributed) over the (1a + 9)
... 4a + -2a - 18 = 6
Division ... none
Addition ... -2a is added to 4a
... 2a - 18 = 6
Subtraction ... 18 is subtracted from 2a ... unlike terms, so nothing happens
2a - 18 = 6 ... use algebra to solve for a
I'd be happy to help you with that question! Let's break it down step by step.
First, let's simplify the expression inside the parentheses using the distributive property.
Multiply -2 by both terms inside the parentheses:
-2 * 1a = -2a
-2 * 9 = -18
Now our equation looks like this:
4a + (-2a - 18) = 6
Next, let's simplify the expression by combining like terms.
Combine the 'a' terms:
4a - 2a = 2a
Now our equation looks like this:
2a - 18 = 6
To solve for 'a', let's isolate the variable by moving the constant term (-18) to the other side of the equation.
Add 18 to both sides of the equation:
2a - 18 + 18 = 6 + 18
2a = 24
Finally, to find the value of 'a', divide both sides of the equation by 2:
2a/2 = 24/2
a = 12
So, the value of 'a' that satisfies the equation is 12.