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Homework help needed on algebra problem!?

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okay, last question i promise. when solving an equation what would u do if you had 6(1+4v)-(-11-v)=42. What do you do about the - sign in the middle of the two?

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  1. distribute it.. like so

    6+24v+11+v=42

    17+25v=42

    25v=42-17

    25v=25

    v=1


  2. What you do with a - in the middle is to subtract, just like always.

    6(1 + 4v) - (-11 - v) = 42

    6 + 24v + 11 + v = 42

    25v = 42-17 = 25

    v = 1

    - - -

    -2(-7k+4)+9=-13

    +14k - 8 + 9 = -13

    14k = -13 + 8 - 9 = -14

    k = -1


  3. 6(1+4v) - (-11-v) = 42

    6 + 24v - (-11) - (-v) = 42

    6 + 24v + 11 + v = 42

    25v + 17 = 42

    25v = 25

    v=1

    here's the other problem's solution:

    -2(-7k+4) + 9 = -13

    (-2)*(-7k) -2(4) + 9 = -13

    14k - 8 + 9 = -13

    14k + 1 = -13

    14k = -14

    k = -1

  4. -2(-7k+4)+9=-13         add 9

    -2(7k+4)=-4                divide by -2

    7k+4=2                       add 4

    7k=6                           divide by 7

    k=6/7                          it should be a decimal

    6(1+4v)-(-11-v)=42    simplify the first parenthesis

    6+24v-(-11-v)=42      simplify the second parenthesis     - (-11) =+11  

    6+24v+11+v=42        simplify the equation

    17+25v=42                subtract 17

    25v=25                      divide by 25

    v=1


  5. for the first one i'll walk you through step by step. First you simplify the equation by multiplying 6 by everything in the parenthesis its touching. so you get 7+24v then you change the

    - - to a plus because two negative signs always equal a positive. then you get 7+24v+11-v=42 so you simplify that to 19+23v=23.

    V=1

    for the second one the first step is to first use the distributive property to simplify the equation so you get 14k-8+9= -13

    then you do14k=-14 so then you devide by a positive 14 so its

    k=-1 because negative devided by a positive is always a negative. GOOD luck and dont be afraid to ask these questions because I LOVE LOVE LOVE answering these questions. Gets my braind started

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