22=(4n+3)+(2n-7)

Solution for 22=(4n+3)+(2n-7) equation:

Simplifying
22 = (4n + 3) + (2n + -7)

Reorder the terms:
22 = (3 + 4n) + (2n + -7)

Remove parenthesis around (3 + 4n)
22 = 3 + 4n + (2n + -7)

Reorder the terms:
22 = 3 + 4n + (-7 + 2n)

Remove parenthesis around (-7 + 2n)
22 = 3 + 4n + -7 + 2n

Reorder the terms:
22 = 3 + -7 + 4n + 2n

Combine like terms: 3 + -7 = -4
22 = -4 + 4n + 2n

Combine like terms: 4n + 2n = 6n
22 = -4 + 6n

Solving
22 = -4 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
22 + -6n = -4 + 6n + -6n

Combine like terms: 6n + -6n = 0
22 + -6n = -4 + 0
22 + -6n = -4

Add '-22' to each side of the equation.
22 + -22 + -6n = -4 + -22

Combine like terms: 22 + -22 = 0
0 + -6n = -4 + -22
-6n = -4 + -22

Combine like terms: -4 + -22 = -26
-6n = -26

Divide each side by '-6'.
n = 4.333333333

Simplifying
n = 4.333333333