7(6-5n)+2(3-4n)=45

Solution for 7(6-5n)+2(3-4n)=45 equation:

Simplifying
7(6 + -5n) + 2(3 + -4n) = 45
(6 * 7 + -5n * 7) + 2(3 + -4n) = 45
(42 + -35n) + 2(3 + -4n) = 45
42 + -35n + (3 * 2 + -4n * 2) = 45
42 + -35n + (6 + -8n) = 45

Reorder the terms:
42 + 6 + -35n + -8n = 45

Combine like terms: 42 + 6 = 48
48 + -35n + -8n = 45

Combine like terms: -35n + -8n = -43n
48 + -43n = 45

Solving
48 + -43n = 45

Solving for variable 'n'.

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

Add '-48' to each side of the equation.
48 + -48 + -43n = 45 + -48

Combine like terms: 48 + -48 = 0
0 + -43n = 45 + -48
-43n = 45 + -48

Combine like terms: 45 + -48 = -3
-43n = -3

Divide each side by '-43'.
n = 0.06976744186

Simplifying
n = 0.06976744186