4(3n+2)=9(7n+8)+1

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Solution for 4(3n+2)=9(7n+8)+1 equation: 


Simplifying
4(3n + 2) = 9(7n + 8) + 1

Reorder the terms:
4(2 + 3n) = 9(7n + 8) + 1
(2 * 4 + 3n * 4) = 9(7n + 8) + 1
(8 + 12n) = 9(7n + 8) + 1

Reorder the terms:
8 + 12n = 9(8 + 7n) + 1
8 + 12n = (8 * 9 + 7n * 9) + 1
8 + 12n = (72 + 63n) + 1

Reorder the terms:
8 + 12n = 72 + 1 + 63n

Combine like terms: 72 + 1 = 73
8 + 12n = 73 + 63n

Solving
8 + 12n = 73 + 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.
8 + 12n + -63n = 73 + 63n + -63n

Combine like terms: 12n + -63n = -51n
8 + -51n = 73 + 63n + -63n

Combine like terms: 63n + -63n = 0
8 + -51n = 73 + 0
8 + -51n = 73

Add '-8' to each side of the equation.
8 + -8 + -51n = 73 + -8

Combine like terms: 8 + -8 = 0
0 + -51n = 73 + -8
-51n = 73 + -8

Combine like terms: 73 + -8 = 65
-51n = 65

Divide each side by '-51'.
n = -1.274509804

Simplifying
n = -1.274509804

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