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28 February, 08:28

What is 5.4w+8.2=9.8w-2.8

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  1. 28 February, 09:40
    0
    Simplifying

    5.4w + 8.2 = 9.8w + - 2.8

    Reorder the terms:

    8.2 + 5.4w = 9.8w + - 2.8

    Reorder the terms:

    8.2 + 5.4w = - 2.8 + 9.8w

    Solving

    8.2 + 5.4w = - 2.8 + 9.8w

    Solving for variable 'w'.

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

    Add '-9.8w' to each side of the equation.

    8.2 + 5.4w + - 9.8w = - 2.8 + 9.8w + - 9.8w

    Combine like terms: 5.4w + - 9.8w = - 4.4w

    8.2 + - 4.4w = - 2.8 + 9.8w + - 9.8w

    Combine like terms: 9.8w + - 9.8w = 0.0

    8.2 + - 4.4w = - 2.8 + 0.0

    8.2 + - 4.4w = - 2.8

    Add '-8.2' to each side of the equation.

    8.2 + - 8.2 + - 4.4w = - 2.8 + - 8.2

    Combine like terms: 8.2 + - 8.2 = 0.0

    0.0 + - 4.4w = - 2.8 + - 8.2

    -4.4w = - 2.8 + - 8.2

    Combine like terms: - 2.8 + - 8.2 = - 11

    -4.4w = - 11

    Divide each side by '-4.4'.

    w = 2.5

    Simplifying

    w = 2.5
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