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    Work: Find the solution of equation N*129*0.2+400 = 3*N*129*0.8-400 .
    Question type: Equation
    Solution:Original question:

N

×

129

×

1 5

+

400

=

3

N

×

129

×

4 5

−

400

Left side of the equation =

N

×

129 5

+

400

    The equation is transformed into :

129 5

N

+

400

=

3

N

×

129

×

4 5

−

400

Right side of the equation =

1548 5

N

−

400

    The equation is transformed into :

129 5

N

+

400

=

1548 5

N

−

400

    Transposition :

129 5

N

−

1548 5

N

=

-

400

−

400

    Combine the items on the left of the equation:

-

1419 5

N

=

-

400

−

400

    Combine the items on the right of the equation:

-

1419 5

N

=

-

800

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :

800

=

1419 5

N

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :

1419 5

N

=

800

    The coefficient of the unknown number is reduced to 1 :

N

=

800

÷

1419 5

=

800

×

5 1419

    We obtained :

N

=

4000 1419

    This is the solution of the equation.

    Convert the result to decimal form :

N

=

2.818887

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