Questions: Evaluate. (2-14)/3+5(-7) ÷ 7 (2-14)/3+5(-7) ÷ 7=

Evaluate.
(2-14)/3+5(-7) ÷ 7
(2-14)/3+5(-7) ÷ 7=
Transcript text: Evaluate. \[ \begin{array}{l} \frac{2-14}{3}+5(-7) \div 7 \\ \frac{2-14}{3}+5(-7) \div 7= \end{array} \]
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Solution

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Solution Steps

To evaluate the given expression, follow these steps:

  1. Simplify the expression inside the parentheses.
  2. Perform the division operation.
  3. Add the results of the simplified terms.
Step 1: Simplify the Expression Inside the Parentheses

First, simplify the expression inside the parentheses: \[ 2 - 14 = -12 \]

Step 2: Perform the Division

Next, divide the result by 3: \[ \frac{-12}{3} = -4 \]

Step 3: Calculate the Multiplication and Division

Calculate the multiplication and division: \[ 5 \times (-7) = -35 \] \[ \frac{-35}{7} = -5 \]

Step 4: Add the Results

Add the results from Step 2 and Step 3: \[ -4 + (-5) = -9 \]

Final Answer

\(\boxed{-9}\)

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