42=-7(n-9)

Solution for 42=-7(n-9) equation:

Simplifying
42 = -7(n + -9)

Reorder the terms:
42 = -7(-9 + n)
42 = (-9 * -7 + n * -7)
42 = (63 + -7n)

Solving
42 = 63 + -7n

Solving for variable 'n'.

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

Add '7n' to each side of the equation.
42 + 7n = 63 + -7n + 7n

Combine like terms: -7n + 7n = 0
42 + 7n = 63 + 0
42 + 7n = 63

Add '-42' to each side of the equation.
42 + -42 + 7n = 63 + -42

Combine like terms: 42 + -42 = 0
0 + 7n = 63 + -42
7n = 63 + -42

Combine like terms: 63 + -42 = 21
7n = 21

Divide each side by '7'.
n = 3

Simplifying
n = 3