Question:

Simplify the expression: 5(a+3)-4(3-2a)?

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Simplify the expression: 5(a+3)-4(3-2a)?

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  1. expand the expression

    5(a+3)= 5a+15

    4(3-2a)=12-8a

    lets return to the original expression, then u replace it with the expansion

    5(a+3)-4(3-2a)

    = 5a+15-(12-8a)

    =5a+15-12+8a

    =13a+3 -------final answer!!!


  2. 5a + 15 -12 + 8a

    then 5a + 8a = 13a

    then 15-12=3

    simplify so it will be...13a + 3

  3. you have to combine like terms.  First multiply :

    5(a+3) becomes 5a+15 and 4(3-2a) becomes 12-8a

    so your probelm becomes

    5a+15 - 12-8a, so you combine the 'a's 5a-8a=3a right?then15-12=3 you come out with 3a +3

    simplification is not always simple, go one step at a time.

    Betz

  4. 5a+15-12+8a

    5a+8a=13a

    15-12=3

    13a+3  (final answer)

  5. 5a +15 - 12 + 8a

    13a +3

  6. 5(a+3)-4(3-2a)=13a+3

  7. 5a + 15 - (12 - 8a )

    5a  + 15 - 12 + 8a

    13a + 3

  8. 5(a+3)-4(3-2a) When opening brackets you multiply the outer integer by all the integers in the bracket. Also note that a minus sign outside the bracket changes the signs inside the bracket thus minus becomes plus and vice versa.

    =5a+15-12+8a Group like terms together

    =5a+8a+15-12 Add and subtract accordingly

    =13a+3----------Final answer!

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