7(5n[-1.22]+3)=8(-1.22)-12

Solution for 7(5n[-1.22]+3)=8(-1.22)-12 equation:

Simplifying
7(5n[-1.22] + 3) = 8(-1.22) + -12

Reorder the terms for easier multiplication:
7(5 * -1.22n + 3) = 8(-1.22) + -12

Multiply 5 * -1.22
7(-6.1n + 3) = 8(-1.22) + -12

Reorder the terms:
7(3 + -6.1n) = 8(-1.22) + -12
(3 * 7 + -6.1n * 7) = 8(-1.22) + -12
(21 + -42.7n) = 8(-1.22) + -12

Multiply 8 * -1.22
21 + -42.7n = -9.76 + -12

Combine like terms: -9.76 + -12 = -21.76
21 + -42.7n = -21.76

Solving
21 + -42.7n = -21.76

Solving for variable 'n'.

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

Add '-21' to each side of the equation.
21 + -21 + -42.7n = -21.76 + -21

Combine like terms: 21 + -21 = 0
0 + -42.7n = -21.76 + -21
-42.7n = -21.76 + -21

Combine like terms: -21.76 + -21 = -42.76
-42.7n = -42.76

Divide each side by '-42.7'.
n = 1.001405152

Simplifying
n = 1.001405152