Question

Justify each statement with a property from algebra or property of congruence.

$2\left(a+b\right)=2a+2b$

Short answer

From the property of Algebra, it is proved that $2\left(a+b\right)=2a+2b$.

Step-by-step solution

Step 1. Apply distributive property of algebra.

The distributive property is given by $a\left(b+c\right)=ab+ac$.

Step 2. Description of step.

Expand the left-hand side of the given equation.

$2\left(a+b\right)=2\times a+2\times b$

Step 3. Description of step.

Simplify the equation mentioned in step 2.

$2\left(a+b\right)=2a+2b$

Therefore, the value of$2\left(a+b\right)$is$2a+2b$.