Question:

Solve -(4a - 7) - 5a = 10 + a?

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I need help! I've been doing this problem for a while and I can't figure it out.

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  1. This is how I would solve it:

    First, distribute your -1 by multiplying "4a" and "-7" by "-1"; then you will get:

    -4a + 7 - 5a= 10 + a

    then add like terms:

    -9a + 7 =10 + a

    then, subtract the "a" from the right side of the equation to gather like terms:

    -10a +7= 10

    then subtract 7 from both sides:

    -10a=3

    then, divide by -10:

    a=  - 3/10

    Hope this helps.


  2. - 4 a + 7 - 5 a = 10 + a

    7 - 9 a = 10 + a

    - 3 = 10 a

    a = - 3 / 10

  3. -(4a - 7) - 5a = 10 + a

    -4a + 7 - 5a = 10 + a

    -9a + 7 = 10 + a

    -10a = 3

    a = -3/10

  4. -(4a-7)-5a=10+a          use the distributive property.

    -4a+7-5a=10+a           - times 4a =-4a, then - times -7=+7.

    -9a+7=10+a               add -4a+(-5a) which equals -9a.

    +9a         +9a             add 9a to both sides.

    7=10+10a                  simplify.

    -10 -10                       subtract 10 from both sides.

    -3=10a                        simplify.

    -3/10=10a/10             divide both sides by 10.

    -3/10=a                     simplify   a= -3/10.

  5. -9a+7=10+a

    -9a=3+a

    -10a=3

    a=-3/10


  6. distribute the neg. sign:

    -4a +7 -5a = 10 +a

    combine like terms:

    -9a+7=10+a

    bring the "a" to one side and the 7 to the other:

    -10a=3

    divide by -10 to get a alone:

    a=(-3/10)

  7. -(4a-7) -5a = 10 + a

    = (-4a+7) - 5a = 10 a

    = 3a - 5a = 10a

    = -2a = 10 a

    -2            10a

    ___   =  ______

    -2             -2a

    = A = -5

    therefore, A is equalled to -5.

    I love Algebra! Thank You!

  8. There are two different answers to your question so far.  Let's see if I can be a tie breaker.

    -4a + 7 - 5a = 10 + a

    -9a + 7 = 10 + a

    add 9a to both sides

    7 = 10 + 10a

    -3 = 10a

    a = -3/10 or -0.3

  9. -(4a-7) - 5a = 10 + a

    -4a + 7 - 5a = 10 + a

    -9a + 7 = 10 + a

    -a                  -a

    -10a +7 = 10

            -7     -7

    -10a = 3

    a= -3/10

  10. a = 2

  11. 1

  12.             -0.3

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