Question

simplify the expression: -7(-2c + 6.3) =

Explanation:

Step1: Apply the distributive property

We use the distributive property \(a(b + c)=ab+ac\). Here, \(a = - 7\), \(b=-2c\) and \(c = 6.3\). So we have \(-7\times(-2c)+(-7)\times6.3\).

Step2: Calculate each term

For the first term, \(-7\times(-2c)=14c\) (because multiplying two negative numbers gives a positive number and \(7\times2 = 14\)). For the second term, \(-7\times6.3=-44.1\) (because multiplying a negative number and a positive number gives a negative number and \(7\times6.3 = 44.1\)).

Step3: Combine the terms

Combining the two terms we got from the previous step, we have \(14c-44.1\).

Answer:

\(14c - 44.1\)