simplify the expression:
3(2a+b)-5+4b
-5=negative 5.
To simplify the expression 3(2a+b) - 5 + 4b, we can follow the order of operations, which is commonly remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
Let's break down each step:
Step 1: Simplify the parentheses
Inside the parentheses, we have 2a+b. We can distribute the 3 to each term inside the parentheses:
3(2a+b) = 6a + 3b
Our expression now becomes 6a + 3b - 5 + 4b.
Step 2: Combine like terms
Combine the terms that have the same variables:
(6a + 4b) + (3b - 5) = 6a + 4b + 3b - 5
Step 3: Combine the coefficients of like terms
Combine the coefficients of each variable:
6a + 4b + 3b - 5 = 6a + 7b - 5
Therefore, the simplified expression is 6a + 7b - 5.