Question

Simplify to create an equivalent expression.
−4(−11+4n)−3(−2n+9)

Answer 1

To simplify the expression −4(−11+4n)−3(−2n+9), you distribute the multiplication and then combine like terms to get the equivalent expression +17−10n.

Step-by-step explanation:

The student has asked to simplify the expression −4(−11+4n)−3(−2n+9). To simplify this expression, we need to distribute the numbers outside the parentheses across the terms inside the parentheses. We'll do this step by step.

• Multiply −4 by −11 to get +44.
• Multiply −4 by +4n to get −16n.
• Multiply −3 by −2n to get +6n.
• Multiply −3 by +9 to get −27.

Now combine like terms:

• Add +44 and −27 to get +17.
• Add −16n and +6n to get −10n.

So, the simplified equivalent expression is +17−10n.