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7 January, 10:33

Solve: 4 (k + 5) = 2 (9k - 4)

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Answers (1)
  1. 7 January, 14:20
    0
    k = 2

    Step-by-step explanation:

    Simplifying

    4 (k + 5) = 2 (9k + - 4)

    Reorder the terms:

    4 (5 + k) = 2 (9k + - 4)

    (5 * 4 + k * 4) = 2 (9k + - 4)

    (20 + 4k) = 2 (9k + - 4)

    Reorder the terms:

    20 + 4k = 2 (-4 + 9k)

    20 + 4k = (-4 * 2 + 9k * 2)

    20 + 4k = (-8 + 18k)

    Solving

    20 + 4k = - 8 + 18k

    Solving for variable 'k'.

    Move all terms containing k to the left, all other terms to the right.

    Add '-18k' to each side of the equation.

    20 + 4k + - 18k = - 8 + 18k + - 18k

    Combine like terms: 4k + - 18k = - 14k

    20 + - 14k = - 8 + 18k + - 18k

    Combine like terms: 18k + - 18k = 0

    20 + - 14k = - 8 + 0

    20 + - 14k = - 8

    Add '-20' to each side of the equation.

    20 + - 20 + - 14k = - 8 + - 20

    Combine like terms: 20 + - 20 = 0

    0 + - 14k = - 8 + - 20

    -14k = - 8 + - 20

    Combine like terms: - 8 + - 20 = - 28

    -14k = - 28

    Divide each side by '-14'.
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