Question

In the following exercise, simplify each expression.

$5\left(-6\right)+7\left(-2\right)-3$

Short answer

The simplified value is -47.

Step-by-step solution

Step 1. Concept Used.

The result of the multiplication or division of two numbers with the same sign is positive and with different signs, is negative.

Step 2. Multiplication.

Multiply 5 with the opposite of 6 and 7 with the opposite of 2.

$5\left(-6\right)+7\left(-2\right)-3=-30-14-3$

Step 3. Addition.

• Add the opposite of 30 with the opposite of 14.

• Add the obtained value with the opposite of 3.

$\begin{array}{rcl}-30-14-3& =& -44-3\\ & =& -47\end{array}$