-4(3+5n)+1=89

Solution for -4(3+5n)+1=89 equation:

Simplifying
-4(3 + 5n) + 1 = 89
(3 * -4 + 5n * -4) + 1 = 89
(-12 + -20n) + 1 = 89

Reorder the terms:
-12 + 1 + -20n = 89

Combine like terms: -12 + 1 = -11
-11 + -20n = 89

Solving
-11 + -20n = 89

Solving for variable 'n'.

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

Add '11' to each side of the equation.
-11 + 11 + -20n = 89 + 11

Combine like terms: -11 + 11 = 0
0 + -20n = 89 + 11
-20n = 89 + 11

Combine like terms: 89 + 11 = 100
-20n = 100

Divide each side by '-20'.
n = -5

Simplifying
n = -5