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15 June, 04:17

An equation is shown below. 12 - 6 (w - 3) = 3 ( - 5 - 3w) + 21 Enter the solution of w for this equation.

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  1. 15 June, 04:19
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    Simplifying

    12 + - 6 (w + - 3) = 3 (-5 + - 3w) + 21

    Reorder the terms:

    12 + - 6 (-3 + w) = 3 (-5 + - 3w) + 21

    12 + (-3 * - 6 + w * - 6) = 3 (-5 + - 3w) + 21

    12 + (18 + - 6w) = 3 (-5 + - 3w) + 21

    Combine like terms: 12 + 18 = 30

    30 + - 6w = 3 (-5 + - 3w) + 21

    30 + - 6w = (-5 * 3 + - 3w * 3) + 21

    30 + - 6w = (-15 + - 9w) + 21

    Reorder the terms:

    30 + - 6w = - 15 + 21 + - 9w

    Combine like terms: - 15 + 21 = 6

    30 + - 6w = 6 + - 9w

    Solving

    30 + - 6w = 6 + - 9w

    Solving for variable 'w'.

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

    Add '9w' to each side of the equation.

    30 + - 6w + 9w = 6 + - 9w + 9w

    Combine like terms: - 6w + 9w = 3w

    30 + 3w = 6 + - 9w + 9w

    Combine like terms: - 9w + 9w = 0

    30 + 3w = 6 + 0

    30 + 3w = 6

    Add '-30' to each side of the equation.

    30 + - 30 + 3w = 6 + - 30

    Combine like terms: 30 + - 30 = 0

    0 + 3w = 6 + - 30

    3w = 6 + - 30

    Combine like terms: 6 + - 30 = - 24

    3w = - 24

    Divide each side by '3'.

    w = - 8

    Simplifying

    w = - 8
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