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22 July, 03:58

Expand and simplify the equation 5 (m+2) + 9 (n+4)

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  1. 22 July, 04:46
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    Answer: 5.4

    Step-by-step explanation:3 (m-2) - 5=8-2 (m-4)

    Simplifying

    3 (m + - 2) + - 5 = 8 + - 2 (m + - 4)

    Reorder the terms:

    3 (-2 + m) + - 5 = 8 + - 2 (m + - 4)

    (-2 * 3 + m * 3) + - 5 = 8 + - 2 (m + - 4)

    (-6 + 3m) + - 5 = 8 + - 2 (m + - 4)

    Reorder the terms:

    -6 + - 5 + 3m = 8 + - 2 (m + - 4)

    Combine like terms: - 6 + - 5 = - 11

    -11 + 3m = 8 + - 2 (m + - 4)

    Reorder the terms:

    -11 + 3m = 8 + - 2 (-4 + m)

    -11 + 3m = 8 + (-4 * - 2 + m * - 2)

    -11 + 3m = 8 + (8 + - 2m)

    Combine like terms: 8 + 8 = 16

    -11 + 3m = 16 + - 2m

    Solving

    -11 + 3m = 16 + - 2m

    Solving for variable 'm'.

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

    Add '2m' to each side of the equation.

    -11 + 3m + 2m = 16 + - 2m + 2m

    Combine like terms: 3m + 2m = 5m

    -11 + 5m = 16 + - 2m + 2m

    Combine like terms: - 2m + 2m = 0

    -11 + 5m = 16 + 0

    -11 + 5m = 16

    Add '11' to each side of the equation.

    -11 + 11 + 5m = 16 + 11

    Combine like terms: - 11 + 11 = 0

    0 + 5m = 16 + 11

    5m = 16 + 11

    Combine like terms: 16 + 11 = 27

    5m = 27

    Divide each side by '5'.

    m = 5.4

    Simplifying

    m = 5.4
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