6(3n+4)=7(9n+5)+6

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Solution for 6(3n+4)=7(9n+5)+6 equation:


Simplifying
6(3n + 4) = 7(9n + 5) + 6

Reorder the terms:
6(4 + 3n) = 7(9n + 5) + 6
(4 * 6 + 3n * 6) = 7(9n + 5) + 6
(24 + 18n) = 7(9n + 5) + 6

Reorder the terms:
24 + 18n = 7(5 + 9n) + 6
24 + 18n = (5 * 7 + 9n * 7) + 6
24 + 18n = (35 + 63n) + 6

Reorder the terms:
24 + 18n = 35 + 6 + 63n

Combine like terms: 35 + 6 = 41
24 + 18n = 41 + 63n

Solving
24 + 18n = 41 + 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.
24 + 18n + -63n = 41 + 63n + -63n

Combine like terms: 18n + -63n = -45n
24 + -45n = 41 + 63n + -63n

Combine like terms: 63n + -63n = 0
24 + -45n = 41 + 0
24 + -45n = 41

Add '-24' to each side of the equation.
24 + -24 + -45n = 41 + -24

Combine like terms: 24 + -24 = 0
0 + -45n = 41 + -24
-45n = 41 + -24

Combine like terms: 41 + -24 = 17
-45n = 17

Divide each side by '-45'.
n = -0.3777777778

Simplifying
n = -0.3777777778

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