6(3n+1)=9(7n+7)+4

Solution for 6(3n+1)=9(7n+7)+4 equation:

Simplifying
6(3n + 1) = 9(7n + 7) + 4

Reorder the terms:
6(1 + 3n) = 9(7n + 7) + 4
(1 * 6 + 3n * 6) = 9(7n + 7) + 4
(6 + 18n) = 9(7n + 7) + 4

Reorder the terms:
6 + 18n = 9(7 + 7n) + 4
6 + 18n = (7 * 9 + 7n * 9) + 4
6 + 18n = (63 + 63n) + 4

Reorder the terms:
6 + 18n = 63 + 4 + 63n

Combine like terms: 63 + 4 = 67
6 + 18n = 67 + 63n

Solving
6 + 18n = 67 + 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.
6 + 18n + -63n = 67 + 63n + -63n

Combine like terms: 18n + -63n = -45n
6 + -45n = 67 + 63n + -63n

Combine like terms: 63n + -63n = 0
6 + -45n = 67 + 0
6 + -45n = 67

Add '-6' to each side of the equation.
6 + -6 + -45n = 67 + -6

Combine like terms: 6 + -6 = 0
0 + -45n = 67 + -6
-45n = 67 + -6

Combine like terms: 67 + -6 = 61
-45n = 61

Divide each side by '-45'.
n = -1.355555556

Simplifying
n = -1.355555556