Question

Simplify each expression.

$\mathbf{6}\mathbf{a}\mathbf{-}\mathbf{2}\mathbf{b}\mathbf{-}\mathbf{3}\mathbf{a}\mathbf{+}\mathbf{9}\mathbf{b}$

Short answer

The answer is $\mathbf{3}\mathbf{a}\mathbf{+}\mathbf{7}\mathbf{b}$.

Step-by-step solution

– Commutative property of addition.

Apply the commutative property of addition to the given expression.

$6a-3a-2b+9b$

– Distributive property.

Apply the distributive property to the obtained expression in step 1.

$\left(6-3\right)a+\left(-2+9\right)b$

– Description of step.

Simplify the expression obtained in the step 2.

$3a+7b$

Therefore, the answer is$3a+7b$.