Q. Simplify the expression. Write your answers using integers or improper fractions.3(−3r−r+5)−31rAnswer:
Distribute Terms: Distribute the 3 across the terms inside the parentheses.3(−3r−r+5)=3×−3r+3×−r+3×5=−9r−3r+15
Combine Like Terms: Combine like terms from the result of the distribution.−9r−3r+15=−12r+15
Separate Terms: Write the expression with the term involving r and the constant term separately.−12r+15−(31)r
Find Common Denominator: Find a common denominator to combine the terms involving r. Since the second term involving r has a denominator of 3, we multiply the first term by 33 to get the same denominator. −12r×(33)+15−(31)r =(−336)r−(31)r+15
Combine Terms with r: Combine the terms involving r.(−336)r−(31)r=(−36−1)/3×r=(−337)r
Combine with Constant Term: Combine the result from Step 5 with the constant term.(−337)r+15Since 15 does not have a term involving r, it remains as is.
Final Simplified Expression: Write the final simplified expression.The final simplified expression is (−337)r+15.
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