Question

Simplify to create an equivalent expression.
\qquad{-4(-11+4n)-3(-2n+9)}−4(−11+4n)−3(−2n+9)

Answer 1

-10n +17

Explanation:

To simplify such an expression, we eliminate parentheses and combine like terms.

Distributive property

The parentheses are eliminated by using the distributive property. The multiplier outside parentheses multiplies each term inside parentheses.

−4(−11+4n)−3(−2n+9) = (-4)(-11) +(-4)(4n) +(-3)(-2n) +(-3)(9)

= 44 -16n +6n -27

Combine like terms

We can group terms with the variable and those without.

= (-16n +6n) +(44 -27)

= (-16 +6)n + 17

= -10n +17