3*7n+1*4=2*6n+4*7

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Solution for 3*7n+1*4=2*6n+4*7 equation: 


Simplifying
3 * 7n + 1 * 4 = 2 * 6n + 4 * 7

Multiply 3 * 7
21n + 1 * 4 = 2 * 6n + 4 * 7

Multiply 1 * 4
21n + 4 = 2 * 6n + 4 * 7

Reorder the terms:
4 + 21n = 2 * 6n + 4 * 7

Multiply 2 * 6
4 + 21n = 12n + 4 * 7

Multiply 4 * 7
4 + 21n = 12n + 28

Reorder the terms:
4 + 21n = 28 + 12n

Solving
4 + 21n = 28 + 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
4 + 21n + -12n = 28 + 12n + -12n

Combine like terms: 21n + -12n = 9n
4 + 9n = 28 + 12n + -12n

Combine like terms: 12n + -12n = 0
4 + 9n = 28 + 0
4 + 9n = 28

Add '-4' to each side of the equation.
4 + -4 + 9n = 28 + -4

Combine like terms: 4 + -4 = 0
0 + 9n = 28 + -4
9n = 28 + -4

Combine like terms: 28 + -4 = 24
9n = 24

Divide each side by '9'.
n = 2.666666667

Simplifying
n = 2.666666667

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