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Algebra

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I need help solving an equation

Solve the following equation for a. Please show all of your work.
C = 1/6 (10b-7a)

  • Algebra -

    C = 1/6 (10b-7a)
    C = (1/6*10b) - (1/6*7a)
    C = 5/3 b - 7/6 a
    +7/6 a +7/6 a
    C + 7/6 a = 5/3 b
    -C -C
    7/6 a = 5/3 b + C

  • Algebra -

    oops not done.
    (7/6 a) / 7/6 = (5/3 b + C)/ 7/6
    a = (5/3 b + C)*(6/7)
    a = 10/7 b + 6/7 C

  • Algebra -

    multiply both sides by 6
    6C = 10b - 7a
    7a = 10b - 6C
    a = (10/7)b - (6/7)C

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