4(3n+1)=7(9n+2)+9

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Solution for 4(3n+1)=7(9n+2)+9 equation:


Simplifying
4(3n + 1) = 7(9n + 2) + 9

Reorder the terms:
4(1 + 3n) = 7(9n + 2) + 9
(1 * 4 + 3n * 4) = 7(9n + 2) + 9
(4 + 12n) = 7(9n + 2) + 9

Reorder the terms:
4 + 12n = 7(2 + 9n) + 9
4 + 12n = (2 * 7 + 9n * 7) + 9
4 + 12n = (14 + 63n) + 9

Reorder the terms:
4 + 12n = 14 + 9 + 63n

Combine like terms: 14 + 9 = 23
4 + 12n = 23 + 63n

Solving
4 + 12n = 23 + 63n

Solving for variable 'n'.

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

Add '-63n' to each side of the equation.
4 + 12n + -63n = 23 + 63n + -63n

Combine like terms: 12n + -63n = -51n
4 + -51n = 23 + 63n + -63n

Combine like terms: 63n + -63n = 0
4 + -51n = 23 + 0
4 + -51n = 23

Add '-4' to each side of the equation.
4 + -4 + -51n = 23 + -4

Combine like terms: 4 + -4 = 0
0 + -51n = 23 + -4
-51n = 23 + -4

Combine like terms: 23 + -4 = 19
-51n = 19

Divide each side by '-51'.
n = -0.3725490196

Simplifying
n = -0.3725490196

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