42-5n=-3+8(3+2n)

Solution for 42-5n=-3+8(3+2n) equation:

Simplifying
42 + -5n = -3 + 8(3 + 2n)
42 + -5n = -3 + (3 * 8 + 2n * 8)
42 + -5n = -3 + (24 + 16n)

Combine like terms: -3 + 24 = 21
42 + -5n = 21 + 16n

Solving
42 + -5n = 21 + 16n

Solving for variable 'n'.

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

Add '-16n' to each side of the equation.
42 + -5n + -16n = 21 + 16n + -16n

Combine like terms: -5n + -16n = -21n
42 + -21n = 21 + 16n + -16n

Combine like terms: 16n + -16n = 0
42 + -21n = 21 + 0
42 + -21n = 21

Add '-42' to each side of the equation.
42 + -42 + -21n = 21 + -42

Combine like terms: 42 + -42 = 0
0 + -21n = 21 + -42
-21n = 21 + -42

Combine like terms: 21 + -42 = -21
-21n = -21

Divide each side by '-21'.
n = 1

Simplifying
n = 1