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  • 20-09-2020
  • Mathematics
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simplify 5(a+6)−a+7a−18

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ASimpleEngineer
ASimpleEngineer ASimpleEngineer
  • 20-09-2020

Answer:

11a + 12

Step-by-step explanation:

For this problem, we will simply use the distributive property both forwards to gather all of the like terms, and then backward to simplify the like terms.

5 ( a + 6 ) - a + 7a - 18

= 5a + 30 - a + 7a - 18

= 5a - a + 7a + 30 - 18

= a ( 5 + -1 + 7 ) + 30 - 18

= a ( 4 + 7 ) + 12

= a ( 11 ) + 12

= 11a + 12

Hence, the simplification for 5(a+6)-a+7a-18 is 11a + 12.

Cheers.

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