4n-7(n-3)=42

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Solution for 4n-7(n-3)=42 equation:


Simplifying
4n + -7(n + -3) = 42

Reorder the terms:
4n + -7(-3 + n) = 42
4n + (-3 * -7 + n * -7) = 42
4n + (21 + -7n) = 42

Reorder the terms:
21 + 4n + -7n = 42

Combine like terms: 4n + -7n = -3n
21 + -3n = 42

Solving
21 + -3n = 42

Solving for variable 'n'.

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

Add '-21' to each side of the equation.
21 + -21 + -3n = 42 + -21

Combine like terms: 21 + -21 = 0
0 + -3n = 42 + -21
-3n = 42 + -21

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

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

Simplifying
n = -7

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