add 9(k+13)+10(12k−1)
To simplify the expression, you need to distribute the numbers outside the parentheses to the terms inside the parentheses and then combine like terms.
9(k + 13) + 10(12k - 1)
First, distribute 9 to the terms inside the first parentheses:
9k + 9(13) + 10(12k - 1)
Next, distribute 10 to the terms inside the second parentheses:
9k + 9(13) + 10(12k) + 10(-1)
Simplify within each set of parentheses:
9k + 117 + 120k - 10
Now, combine like terms:
(9k + 120k) + (117 - 10)
129k + 107
The simplified expression is 129k + 107.
To solve the expression: 9(k+13) + 10(12k-1), follow these steps:
Step 1: Distribute the 9 to the terms inside the first parentheses:
9 * k = 9k
9 * 13 = 117
So, the first part becomes: 9k + 117.
Step 2: Distribute the 10 to the terms inside the second parentheses:
10 * 12k = 120k
10 * -1 = -10
So, the second part becomes: 120k - 10.
Step 3: Combine the two parts:
9k + 117 + 120k - 10
Step 4: Combine the like terms:
(9k + 120k) + (117 - 10)
129k + 107
So, the simplified expression is 129k + 107.
To simplify the expression 9(k + 13) + 10(12k - 1), we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right). Let's break it down step-by-step:
Step 1: Distribute the values inside the parentheses.
9(k + 13) + 10(12k - 1)
= 9k + 9(13) + 10(12k) + 10(-1)
= 9k + 117 + 120k - 10
Step 2: Combine like terms.
Simplifying 9k and 120k, we get:
= (9k + 120k) + 117 - 10
= 129k + 107
Therefore, the simplified expression is 129k + 107.