Use the properties of real numbers to simplify the following expressions:

Use the properties of real numbers to simplify the following expressions:


2a(a – 5) + 4(a – 5)


2w – 3 + 3(w – 4) – 5(w – 6)


0.05(0.3m + 35n) – 0.8(-0.09n – 22m)


Write a two- to three-page paper that is formatted in APA style and according to the Math Writing Guide. Format your math work as shown in the Instructor Guidance and be concise in your reasoning. In the body of your essay, do the following:


Demonstrate your solution to the above problems, making sure to include all mathematical work. Show every step of the process of simplifying and identify which property of real numbers was used in each step of your work. Please include your math work on the left and the properties used on the right.

Explain why the properties of real numbers are important to know when working with algebra. In what ways are they useful for simplifying algebraic expressions?


Incorporate the following five math vocabulary words into the text of your paper. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work):


Simplify


Like terms


Coefficient


Distributive


Removing parentheses
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