43=4(3n-2)+7(2-7n)

Solution for 43=4(3n-2)+7(2-7n) equation:

Simplifying
43 = 4(3n + -2) + 7(2 + -7n)

Reorder the terms:
43 = 4(-2 + 3n) + 7(2 + -7n)
43 = (-2 * 4 + 3n * 4) + 7(2 + -7n)
43 = (-8 + 12n) + 7(2 + -7n)
43 = -8 + 12n + (2 * 7 + -7n * 7)
43 = -8 + 12n + (14 + -49n)

Reorder the terms:
43 = -8 + 14 + 12n + -49n

Combine like terms: -8 + 14 = 6
43 = 6 + 12n + -49n

Combine like terms: 12n + -49n = -37n
43 = 6 + -37n

Solving
43 = 6 + -37n

Solving for variable 'n'.

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

Add '37n' to each side of the equation.
43 + 37n = 6 + -37n + 37n

Combine like terms: -37n + 37n = 0
43 + 37n = 6 + 0
43 + 37n = 6

Add '-43' to each side of the equation.
43 + -43 + 37n = 6 + -43

Combine like terms: 43 + -43 = 0
0 + 37n = 6 + -43
37n = 6 + -43

Combine like terms: 6 + -43 = -37
37n = -37

Divide each side by '37'.
n = -1

Simplifying
n = -1