-3(9n-1)+7(n+6)=-60

Solution for -3(9n-1)+7(n+6)=-60 equation:

Simplifying
-3(9n + -1) + 7(n + 6) = -60

Reorder the terms:
-3(-1 + 9n) + 7(n + 6) = -60
(-1 * -3 + 9n * -3) + 7(n + 6) = -60
(3 + -27n) + 7(n + 6) = -60

Reorder the terms:
3 + -27n + 7(6 + n) = -60
3 + -27n + (6 * 7 + n * 7) = -60
3 + -27n + (42 + 7n) = -60

Reorder the terms:
3 + 42 + -27n + 7n = -60

Combine like terms: 3 + 42 = 45
45 + -27n + 7n = -60

Combine like terms: -27n + 7n = -20n
45 + -20n = -60

Solving
45 + -20n = -60

Solving for variable 'n'.

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

Add '-45' to each side of the equation.
45 + -45 + -20n = -60 + -45

Combine like terms: 45 + -45 = 0
0 + -20n = -60 + -45
-20n = -60 + -45

Combine like terms: -60 + -45 = -105
-20n = -105

Divide each side by '-20'.
n = 5.25

Simplifying
n = 5.25