-9(n-11)+3=4(1-4n)

Solution for -9(n-11)+3=4(1-4n) equation:

Simplifying
-9(n + -11) + 3 = 4(1 + -4n)

Reorder the terms:
-9(-11 + n) + 3 = 4(1 + -4n)
(-11 * -9 + n * -9) + 3 = 4(1 + -4n)
(99 + -9n) + 3 = 4(1 + -4n)

Reorder the terms:
99 + 3 + -9n = 4(1 + -4n)

Combine like terms: 99 + 3 = 102
102 + -9n = 4(1 + -4n)
102 + -9n = (1 * 4 + -4n * 4)
102 + -9n = (4 + -16n)

Solving
102 + -9n = 4 + -16n

Solving for variable 'n'.

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

Add '16n' to each side of the equation.
102 + -9n + 16n = 4 + -16n + 16n

Combine like terms: -9n + 16n = 7n
102 + 7n = 4 + -16n + 16n

Combine like terms: -16n + 16n = 0
102 + 7n = 4 + 0
102 + 7n = 4

Add '-102' to each side of the equation.
102 + -102 + 7n = 4 + -102

Combine like terms: 102 + -102 = 0
0 + 7n = 4 + -102
7n = 4 + -102

Combine like terms: 4 + -102 = -98
7n = -98

Divide each side by '7'.
n = -14

Simplifying
n = -14