3(n+1)=9(n-7)

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


Simplifying
3(n + 1) = 9(n + -7)

Reorder the terms:
3(1 + n) = 9(n + -7)
(1 * 3 + n * 3) = 9(n + -7)
(3 + 3n) = 9(n + -7)

Reorder the terms:
3 + 3n = 9(-7 + n)
3 + 3n = (-7 * 9 + n * 9)
3 + 3n = (-63 + 9n)

Solving
3 + 3n = -63 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
3 + 3n + -9n = -63 + 9n + -9n

Combine like terms: 3n + -9n = -6n
3 + -6n = -63 + 9n + -9n

Combine like terms: 9n + -9n = 0
3 + -6n = -63 + 0
3 + -6n = -63

Add '-3' to each side of the equation.
3 + -3 + -6n = -63 + -3

Combine like terms: 3 + -3 = 0
0 + -6n = -63 + -3
-6n = -63 + -3

Combine like terms: -63 + -3 = -66
-6n = -66

Divide each side by '-6'.
n = 11

Simplifying
n = 11

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