Question

Simplify to create an equivalent expression: 2(−14r)−(−3r−5).

a) −25r+5
b) −25r−5
c) −17r+5
d) −17r−5

Answer 1

To simplify the given expression, distribute the multiplication across the parentheses, apply the sign changes, and combine like terms to get the equivalent expression '25r + 5.

Step-by-step explanation:

To simplify the expression 2(−14r)−(−3r−5), we start by distributing the multiplication and negations through the parentheses. This gives us:

−28r − ( −3r − 5 ).

Now, we distribute the negative sign in front of the parentheses, which changes the signs of the terms inside the parentheses:

−28r + 3r + 5.

Combine like terms by adding the coefficients of r:

(−28 + 3)r + 5 = −25r + 5.

This simplifies to the equivalent expression −25r + 5, which corresponds to option (a).