4n-7(n-9)=42

Solution for 4n-7(n-9)=42 equation:

Simplifying
4n + -7(n + -9) = 42

Reorder the terms:
4n + -7(-9 + n) = 42
4n + (-9 * -7 + n * -7) = 42
4n + (63 + -7n) = 42

Reorder the terms:
63 + 4n + -7n = 42

Combine like terms: 4n + -7n = -3n
63 + -3n = 42

Solving
63 + -3n = 42

Solving for variable 'n'.

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

Add '-63' to each side of the equation.
63 + -63 + -3n = 42 + -63

Combine like terms: 63 + -63 = 0
0 + -3n = 42 + -63
-3n = 42 + -63

Combine like terms: 42 + -63 = -21
-3n = -21

Divide each side by '-3'.
n = 7

Simplifying
n = 7