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Algebra help with hw ?

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1) 4[2t - (3 - t) + 5] = -(2 + 7t)

2) -[6x - (4x+8)] = 9 + (6x+3)

3) 4 (k+2) - 8k - 5 = -3k+9 - 2(k+6)

4) -7(2x+1) + 5(3x+2) = 6(2x - 4) - (12x+3)

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  1. 1. 4[2t - (3 - t) + 5] = -(2 + 7t)

    4[2t - 3 + t + 5] = -2 - 7t

    4(3t + 2) = -2 -7t

    12t + 8 = -2 -7t

    19t = -10

    t = -19/10 OR -1.9

    2. -[6x - (4x+8)] = 9 + (6x+3)

    -[6x - 4x -8] = 9 + 6x + 3

    -6x + 4x + 8 = 9 + 6x + 3

    -2x + 8 = 6x +12

    -8x = 4

    x = -1/2

    3. 4(k+2) - 8k - 5 = -3k + 9 - 2(k+6)

    4k + 8 - 8k - 5 = -3k + 9 - 2k - 12

    -4k + 3 = -5k -3

    k = -6

    4. -7(2x+1) + 5(3x+2) = 6(2x - 4) - (12x+3)

    -14x - 7 + 15x + 10 = 12x - 24 - 12x - 3

    x + 3 = -27

    x = -30

    I have a feeling I did the first one wrong. xD

    But, I'm pretty sure about the rest.

    -edit-

    Gah, I did do the first one wrong. I refigured, though. It's correct now.


  2. 1) 4[2t - (3 - t) + 5] = -(2 + 7t)

    8t - 12 + 4t + 20 = -7t - 2

    12t + 8 = -7t - 2

    19t = -10

    t= -1.9

    2) -[6x - (4x+8)] = 9 + (6x+3)

    -6x + 4x +8 = 6x + 9

    -2x + 8 = 6x + 9

    -8x = 1

    x= -1/8

    3) 4 (k+2) - 8k - 5 = -3k+9 - 2(k+6)

    4k + 8 - 8k - 5 = -3k + 9 - 2k - 12

    -4k + 3 = -5k -3

    k= -6

    [caught my mess up XD]

    4) -7(2x+1) + 5(3x+2) = 6(2x - 4) - (12x+3)

    -14x - 7 + 15x +10 = 12x - 24 -12x -3

    x + 3 = -27

    x= 30

    :] math is fun lol

  3. Assuming that I solved these correctly, you answers are below. Due to a lack of time, I only solved the last two. Sorry. Also, do not trust scarlettsixxx's answers as they are incorrect.

    3.) 4 (k+2) - 8k - 5 = -3k+9 - 2(k+6)

    4k + 8 - 8k - 5 = -3k + 9 -2k - 12

    -4k + 3 = -5k - 3

    -4k = -5k -6

    k = -6

    4.) -7(2x+1) + 5(3x+2) = 6(2x - 4) - (12x+3)

    -14x - 7 + 15x + 10 = 12x - 24 - 12x - 3

    x + 3 = -27

    x = -30
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